Quantum Time Crystals

Abstract

Difficulties around the idea of spontaneous breaking of time translation symmetry in a closed quantum mechanical system are identified, and then overcome in a simple model. The possibility of ordering in imaginary time is also discussed.

6 pages, no figures. v2: tightened format, additional references, small improvements

References in corpus (2)

• Classical Time Crystals
• Branched Quantization

Cited by in corpus (550)

• Atomic quantum gases in periodically driven optical lattices
• Observation of a Discrete Time Crystal
• Observation of discrete time-crystalline order in a disordered dipolar many-body system
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Dynamical quantum phase transitions: a review
• Discrete time crystals: rigidity, criticality, and realizations
• Non-reciprocal phase transitions
• Photonics of Time-Varying Media
• Electromagnetic Response of Weyl Semimetals
• Time crystals: a review
• Absence of Quantum Time Crystals
• Classical Time Crystals
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
• Modeling spontaneous breaking of time-translation symmetry
• Non-stationary coherent quantum many-body dynamics through dissipation
• Discrete Time Crystals
• Boundary time crystals
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem
• Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
• Pre-thermal phases of matter protected by time-translation symmetry
• Equilibration and Order in Quantum Floquet Matter
• Observation of a dissipative time crystal
• Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
• Odd-frequency superconductivity
• Observation of a continuous time crystal
• Observation of time quasicrystal and its transition to superfluid time crystal
• Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator
• 1D Many-body localized Floquet systems II: Symmetry-Broken phases
• Colloquium: Quantum and Classical Discrete Time Crystals
• Observation of a space-time crystal in a superfluid quantum gas
• An Introduction to Spontaneous Symmetry Breaking
• Space-time crystals of trapped ions
• Temporal order in periodically driven spins in star-shaped clusters
• Observation of anomalous π modes in photonic Floquet engineering
• Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
• Comment on "Quantum Time Crystals": a new paradigm or just another proposal of perpetuum mobile?
• Classical Discrete Time Crystals
• Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
• Photoinduced topological phase transitions in strained black phosphorus
• Quantum Time Crystals from Hamiltonians with Long-Range Interactions
• Symmetry restoration in mean-field approaches
• All-Optical Dissipative Discrete Time Crystals
• Generalized Bloch theorem and chiral transport phenomena
• Observation of a symmetry-protected topological time crystal with superconducting qubits
• The isolated Heisenberg magnet as a quantum time crystal
• Limit cycle phase in driven-dissipative spin systems
• On the survival of Floquet-Bloch states in the presence of scattering
• Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
• Simulation of non-Abelian braiding in Majorana time crystals
• Floquet time crystals in clock models
• Emergent limit cycles and time crystal dynamics in an atom-cavity system
• Torsional chiral magnetic effect in Weyl semimetal with topological defect
• Superfluidity and Space-Time Translation Symmetry Breaking
• Time crystals in periodically driven systems
• Photonic Metamaterial Analogue of a Continuous Time Crystal
• Time crystals: can diamagnetic currents drive a charge density wave into rotation?
• Period-$n$ discrete time crystals and quasicrystals with ultracold bosons
• ${}^{31}$P NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Counting Rules of Nambu-Goldstone Modes
• Spin - orbital-angular-momentum coupling in Bose-Einstein condensates
• Superradiance Lattice
• Permittivity-asymmetric quasi-bound states in the continuum
• Discrete Time Quasi-Crystals
• Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
• Dissipative time crystal in a strongly interacting Rydberg gas
• Photonic time crystals: Theory and applications
• Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
• Time crystals: analysis of experimental conditions
• AC Josephson effect between two superfluid time crystals
• From a continuous to a discrete time crystal in a dissipative atom-cavity system
• Dynamical quantum phase transitions in discrete time crystals
• Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Discrete time crystal in globally driven interacting quantum systems without disorder
• Defining Time Crystals via Representation Theory
• Quantum metrology with boundary time crystals
• Symmetries and conserved quantities of boundary time crystals in generalized spin models
• Time crystals in a shaken atom-cavity system
• $\hslash \omega$ versus $\hslash \mathbf{k}$: Dispersion and Energy Constraints on Time-Varying Photonic Materials and Time Crystals
• Comment on "Space-Time Crystals of Trapped Ions": And Yet it Moves Not !
• Time crystal behavior of excited eigenstates
• Integrable nonlocal Hirota equations
• Topologically protected braiding in a single wire using Floquet Majorana modes
• Time crystallinity in open quantum systems
• Floquet Quantum Criticality
• Dynamical phases and quantum correlations in an emitter-waveguide system with feedback
• Learning phase transitions from dynamics
• Real space observation of magnon interaction with driven space-time crystals
• Prethermal time crystals in a one-dimensional periodically driven Floquet system
• Condensed Matter Physics in Time Crystals
• Anderson localization and Mott insulator phase in the time domain
• Topological Time Crystals
• Boundary time crystals in collective $d$-level systems
• Interaction-induced time-symmetry breaking in driven quantum oscillators
• Nonequilibrium many-body quantum engine driven by time-translation symmetry breaking
• Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
• Minimalist approach to the classification of symmetry protected topological phases
• Universal control of a bosonic mode via drive-activated native cubic interactions
• Classical Stochastic Discrete Time Crystals
• Bounds in Nonequilibrium Quantum Dynamics
• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Discrete time-crystalline response stabilized by domain-wall confinement
• Anderson localization in the time domain
• Optically trapped polariton condensates as semiclassical time crystals
• Continuous time crystal in an electron-nuclear spin system: stability and melting of periodic auto-oscillations
• Simulating complex quantum networks with time crystals
• Achieving translational symmetry in trapped cold ion rings
• Multiple-period Floquet states and time-translation symmetry breaking in quantum oscillators
• Nonreciprocal Ising model
• Discrete time crystal enabled by Stark many-body localization
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Fractional Time Crystals
• Theory of coupled parametric oscillators beyond coupled Ising spins
• Time Crystals from Minimum Time Uncertainty
• The goldstone and goldstino of supersymmetric inflation
• Sub-diffusive Thouless time scaling in the Anderson model on random regular graphs
• Dissipative time crystals with long-range Lindbladians
• Emergent parametric resonances and time-crystal phases in driven BCS systems
• Building continuous time crystals from rare events
• Correlated photon dynamics in dissipative Rydberg media
• On quantum time crystals and interacting gauge theories in atomic Bose-Einstein condensates
• Three-dimensional localized-delocalized Anderson transition in the time domain
• Creating and controlling global Greenberger-Horne-Zeilinger entanglement on quantum processors
• Symmetry-breaking dynamics of the finite-size Lipkin-Meshkov-Glick model near ground state
• Floquet time-crystals as sensors of AC fields
• Inflation in Motion: Unitarity Constraints in Effective Field Theories with Broken Lorentz Symmetry
• Periodically Driven Array of Single Rydberg Atoms
• Quantum time crystals with programmable disorder in higher dimensions
• Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity
• An instanton-like excitation of a discrete time crystal
• Branched Quantization
• Observations of a PT-like phase transition and limit cycle oscillations in non-reciprocally coupled optomechanical oscillators levitated in vacuum
• To heat or not to heat: time crystallinity and finite-size effects in clean Floquet systems
• Discrete time crystal in a finite chain of Rydberg atoms without disorder
• Quantum trajectories of dissipative time-crystals
• Mesoscopic limit cycles in coupled nanolasers
• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Mode softening in time-crystalline transitions of open quantum systems
• Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
• Creating big time crystals with ultracold atoms
• Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
• Tunable space-time crystal in room-temperature magnetodielectrics
• Anderson localization of a Rydberg electron along a classical orbit
• Stark time crystals: Symmetry breaking in space and time
• A Solvable Deformation of Quantum Mechanics
• Generalized phase transitions in Lovelock gravity
• Rigorous bounds on dynamical response functions and time-translation symmetry breaking
• Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
• Spatial-Translation-Induced Discrete Time Crystals
• Spontaneous $\mathcal{T}$-symmetry breaking and exceptional points in cavity quantum electrodynamics systems
• A dissipative time crystal with or without ${\mathbb{Z}}_2$ symmetry breaking
• Analytic (3+1)-dimensional gauged Skyrmions, Heun and Whittaker-Hill equations and resurgence
• Photonic Floquet time crystals
• Synthetic dimensions for topological and quantum phases: Perspective
• System-time entanglement in a discrete time model
• Signatures of discrete time-crystallinity in transport through an open Fermionic chain
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Solid-state continuous time crystal with a built-in clock
• On the integration of fields and quanta in time dependent backgrounds
• An eternal discrete time crystal beating the Heisenberg limit
• Coffee stains, cell receptors, and time crystals: Lessons from the old literature
• Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
• Time-domain grating with a periodically driven qutrit
• Nonlinear two-level dynamics of quantum time crystals
• Many-Body Localization with Quasiperiodic Driving
• Casimir effect for mixed fields
• Synthesizing Lattice Structure in Phase Space
• Phase diagram and optimal control for n-tupling discrete time crystal
• Entangled time-crystal phase in an open quantum light-matter system
• Spontaneous symmetry breaking and Nambu-Goldstone modes in open classical and quantum systems
• Effective field theory of time-translational symmetry breaking in nonequilibrium open system
• A linear-scaling source-sink algorithm for simulating time-resolved quantum transport and superconductivity
• Cosmological Time Crystal: Cyclic Universe with a small $\Lambda$ in a toy model approach
• Discrete time crystals in many-body quantum chaos
• Driven-dissipative time crystalline phases in a two-mode bosonic system with Kerr nonlinearity
• Rapid flipping of parametric phase states
• Floquet-Bloch Oscillations and Intraband Zener Tunneling in an Oblique Spacetime Crystal
• Out-of-Time-Ordered Crystals and Fragmentation
• Torsion in quantum field theory through time-loops on Dirac materials
• Analytical solutions for a boundary driven XY chain
• Experimental Realization of Discrete Time Quasi-Crystals
• Oscillatory Attractors: A New Cosmological Phase
• Floquet Scalar Dynamics in Global AdS
• Genuine Multipartite Correlations in a Boundary Time Crystal
• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
• Dynamics of a Space-Time Crystal in an Atomic Bose-Einstein Condensate
• Observation of many-body quantum phase transitions beyond the Kibble-Zurek mechanism
• Trotter errors from dynamical structural instabilities of Floquet maps in quantum simulation
• Stationary uphill currents in locally perturbed Zero Range Processes
• Proof of the absence of long-range temporal orders in Gibbs states
• Particle models with self sustained current
• Dynamical phase transitions in the nonreciprocal Ising model
• Comment on "Quantum Time Crystals and Interacting Gauge Theories in Atomic Bose-Einstein Condensates"
• Stochastic discrete time crystals: Entropy production and subharmonic synchronization
• Bistability and time crystals in long-ranged directed percolation
• Critical Theory for the Breakdown of Photon Blockade
• Coherent dynamics in frustrated coupled parametric oscillators
• Long-lived topological time-crystalline order on a quantum processor
• Holographic Floquet states II: Floquet condensation of vector mesons in nonequilibrium phase diagram
• Quantum Time Crystal By Decoherence: Proposal With Incommensurate Charge Density Wave Ring
• Dissipative time crystal in an atom-cavity system: Influence of trap and competing interactions
• Nonequilibrium Criticality at the Onset of Time-Crystalline Order
• Non-equilibrium phase transitions in coupled nonlinear optical resonators
• Prethermal Floquet time crystals in chiral multiferroic chains and applications as quantum sensors of AC fields
• Hybrid Stabilizer Matrix Product Operator
• Chimera Time-Crystalline order in quantum spin networks
• Realizing time crystals in discrete quantum few-body systems
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals
• Rotating Casimir systems: magnetic-field-enhanced perpetual motion, possible realization in doped nanotubes, and laws of thermodynamics
• Temporal boundaries in electromagnetic materials
• Relaxation dynamics and dissipative phase transition in quantum oscillators with period tripling
• From Floquet to Dicke: quantum spin-Hall insulator interacting with quantum light
• Dynamics of Disordered Quantum Systems Using Flow Equations
• Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model
• Synthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial
• Time Quasilattices in Dissipative Dynamical Systems
• Quantum non-stationary phenomena of spin systems in collision models
• Stabilization and manipulation of multispin states in quantum-dot time crystals with Heisenberg interactions
• Critical properties of the prethermal Floquet Time Crystal
• Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
• Six-dimensional time-space crystalline structures
• One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form
• Realization of an inherent time crystal in a dissipative many-body system
• Lattice Boltzmann simulations capture the multiscale physics of soft flowing crystals
• Homogeneous Floquet time crystal from weak ergodicity breaking
• Stable Cosmic Time Crystals
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
• Boundary Time Crystals as AC sensors: enhancements and constraints
• Circular Dichroism in Rotating Particles
• Spin-controlled photonics via temporal anisotropy
• A Decade of Time Crystals: Quo Vadis?
• Lack of a genuine time crystal in a chiral soliton model
• Anharmonic classical time crystals: A coresonance pattern formation mechanism
• Probing non-equilibrium topological order on a quantum processor
• Self-organized Limit Cycles in Red-detuned Atom-cavity Systems
• Fractal nature of high-order time crystal phases
• Quantum thermodynamics of boundary time-crystals
• Exploring eternal stability with the simple harmonic universe
• Imaginary time crystal of thermal quantum matter
• Single-particle localization in dynamical potentials
• Dissipative time crystals originating from parity-time symmetry
• Stroboscopic aliasing in long-range interacting quantum systems
• Numerical linked cluster expansions for inhomogeneous systems
• Persistent currents in ultracold gases
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Nonequilibrium transition between dissipative time crystals
• Holographic dissipative space-time supersolids
• Higher-Rank Tensor Field Theory of Non-Abelian Fracton and Embeddon
• Towards quantum internet and non-local communication in position based qubits
• Nonequilibrium thermodynamics and power generation in open quantum optomechanical systems
• ${}^3$He Universe 2020
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Time Glass: A Fractional Calculus Approach
• Hierarchical hydrodynamics in long-range multipole-conserving systems
• Entanglement Transitions in Unitary Circuit Games
• Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
• Space-time crystalline order of a high-critical-temperature superconductor with intrinsic Josephson junctions
• Nonequilibrium Electron Dynamics In Pump-Probe Spectroscopy: Role Of Excited Phonon Populations
• Stability of Floquet Majorana box qubits
• Space-Time Quasicrystal Structures and Inflationary and Late Time Evolution Dynamics in Accelerating Cosmology
• Time Crystal in a Single-mode Nonlinear Cavity
• Period-doubled Floquet Solitons
• Effective Field Theory for Spontaneously Broken Symmetry
• Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation
• Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
• Time-crystalline Topological Superconductors
• Neural activity in quarks language: Lattice Field Theory for a network of real neurons
• Exotic synchronization in continuous time crystals outside the symmetric subspace
• Colloidal Dynamics on a Choreographic Time Crystal
• Observation of a phase transition from a continuous to a discrete time crystal
• Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories
• Torsion at different scales: from materials to the Universe
• Algebraic Time Crystallization in a Two-dimensional Superfluid
• Phase Crystals
• Truncated Dynamics, Ring Molecules and Mechanical Time Crystals
• Discrete time crystal in the gradient field Heisenberg model
• Time Crystals in the Driven Transverse Field Ising Model under Quasiperiodic Modulation
• Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
• Flow Equations for Disordered Floquet Systems
• Functional field integral approach to quantum work
• Skyrmion-Excited Spin Wave Fractal Network
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Magnon Bose-Einstein condensates: from time crystals and quantum chromodynamics to vortex sensing and cosmology
• Bose-Hubbard realization of fracton defects
• Parametric resonance of a Bose-Einstein condensate in a ring trap with periodically driven interactions
• Euler top with a rotor: classical analogies of spin squeezing and quantum phase transitions in a generalized Lipkin-Meshkov-Glick model
• Autonomous quantum clocks using athermal resources
• Branched Hamiltonians and Supersymmetry
• Dynamical nonlocality in quantum time via modular operators
• Extended Bose-Hubbard model with pair tunneling: spontaneous symmetry breaking, effective ground state and fragmentation
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
• Very slow heating for weakly driven quantum many-body systems
• Exploring nonlinear dynamics in periodically driven time crystal: from synchronized to chaotic motion
• Continuous Space-Time Crystal State Driven by Nonreciprocal Optical Forces
• On the long-term stability of space-time crystals
• Deterministic model of battery, uphill currents and non-equilibrium phase transitions
• Nonlocal discrete time crystals in periodically driven surface codes
• Discreteness of time in the evolution of the universe
• The Phantom of the New Oscillatory Cosmological Phase
• Large-scale simulations of Floquet physics on near-term quantum computers
• Prethermal time-crystalline spin ice and monopole confinement in a driven magnet
• Time periodicity from randomness in quantum systems
• Thermal melting of discrete time crystals: a dynamical phase transition induced by thermal fluctuations
• Time-crystal ground state and production of gravitational waves from QCD phase transition
• Experimental observation of a time rondeau crystal: Temporal Disorder in Spatiotemporal Order
• Self-similar phase diagram of the Fibonacci-driven quantum Ising model
• Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
• Driven anti-Bragg subradiant states in waveguide quantum electrodynamics
• Quasiparticles of periodically driven quantum dot coupled between superconducting and normal leads
• Temporal refraction and reflection in modulated mechanical metabeams: theory and physical observation
• Overcoming dispersive spreading of quantum wave packets via periodic nonlinear kicking
• Time Crystals transforming Frequency Combs in Tunable Photonic Oscillators
• Time-crystalline behavior in an engineered spin chain
• Inseparable time-crystal geometries on the Möbius strip
• Symmetric Satellite Swarms and Choreographic Crystals
• Continuous simultaneous measurement of position and momentum of a particle
• Out of equilibrium chiral higher order topological insulator on a $\pi$-flux square lattice
• Design of a Surface Trap for Freely Rotating Ion Ring Crystals
• The role of quantum recurrence in superconductivity, carbon nanotubes and related gauge symmetry breaking
• Self-Organized Higgs Criticality
• Spectral signatures of symmetry-breaking dynamical phase transitions
• The Josephson junction as a quantum engine
• Crystal gravity
• Topological Polarisation States
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Multi-time correlations in the positive-P, Q, and doubled phase-space representations
• Thermodynamics and Phase Transition in Shapere-Wilczek {\it fgh} model: Cosmological Time Crystal in Quadratic Gravity
• Mean-field thermodynamic quantum time-space crystal: spontaneous breaking of time-translation symmetry in a macroscopic fermion system
• Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder
• Anderson Molecules
• Absolutely stable time crystals at finite temperature
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Temporal Chiral Spiral in Strong Magnetic Fields
• Topologically protected boundary discrete time crystal for a solvable model
• Provenance of classical Hamiltonian time crystals
• Magnetization oscillations in a periodically driven transverse field Ising chain
• Clean two-dimensional Floquet time-crystal
• Neural network enhanced hybrid quantum many-body dynamical distributions
• Tunable Spatiotemporal Orders in Driven Insulators
• Space-time symmetry breaking in nonequilibrium frustrated magnetism
• Programmable Hamiltonian engineering with quadratic quantum Fourier transform
• Space- and time-crystallization effects in multicomponent superfluids
• Dynamic phase transition theory
• Yet another time about time - Part I
• Liquid Time Crystals
• Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
• Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
• Spontaneous Symmetry Breaking of Time-Reversal-Symmetry and Time-Crystal States in Chiral Atomic Systems
• BPS Kerr-AdS Time Machines
• Nonlinearity and Topology
• Classes of metastable Thermodynamic Quantum Time Crystals
• Fate of Algebraic Many-Body Localization under driving
• Discrete dynamical stabilization of a naturally diverging mass in a harmonically time-varying potential
• Nanoscopic time crystal obtained by nonergodic spin dynamics
• Designing open quantum systems for enabling quantum enhanced sensing through classical measurements
• Dynamical exchange and phase induced switching of a localized molecular spin
• Boundary Time Crystals Induced by Local Dissipation and Long-Range Interactions
• Time crystals made of electron-positron pairs
• Hybrid quantum-classical chaotic NEMS
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Discrete Time Crystals with Absolute Stability
• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Theory for dissipative time crystals in coupled parametric oscillators
• Discrete time crystal in an open optomechanical system
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Non-trivial time crystal-like ground state for gravitational perturbation in quadratic gravity
• Classical and quantum time crystals in a levitated nanoparticle without drive
• Symmetries & Correlations in Continous Time Crystals
• Can a bright soliton model reveal a genuine time crystal for a finite number of bosons?
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• Streamlined Krylov construction and classification of ergodic Floquet systems
• Spatio-temporal Symmetry - Point Groups with Time Translations
• Soliton metacrystals: topology and chirality
• Quantum Pairing Time Orders
• Molecular machines for quantum error correction
• Kaluza--Klein gravity & cosmology emerging from G. Perelman's entropy functionals and quantum geometric information flows
• Equivalence between classical epidemic model and non-dissipative and dissipative quantum tight-binding model
• Dynamical density wave order in an atom-cavity system
• Continuous time crystal from a spontaneous many-body Floquet state
• Prolonging a discrete time crystal by quantum-classical feedback
• Entanglement dynamics and fractional quantum state transport in the spin-$\frac{1}{2}$ triangular plaquette
• Dynamical dimensional reduction in multi-valued Hamiltonians
• A reappraisal of Lagrangians with non-quadratic velocity dependence and branched Hamiltonians
• Topological excitations at time vortices in periodically driven systems
• Swapping Floquet time crystal
• Unveiling clean two-dimensional discrete time crystals on a digital quantum computer
• Thermodynamics and Protection of Discrete-Time Crystals
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware
• Cosmological Time Crystals From Einstein-Cubic Gravities
• Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems
• Time crystal and chaos in the hybrid atom-optomechanics system
• Topologically ordered time crystals
• Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal
• A metronome spin stabilizes time-crystalline dynamics
• Vortex precession and exchange in a Bose-Einstein condensate
• Spontaneous emission decay and excitation in photonic time crystals
• Emergent time crystal from a fractional Langevin equation with white and colored noise
• Topics in Asymptotic Symmetries and Infrared Effects
• Opening Krylov space to access all-time dynamics via dynamical symmetries
• Ground state and the spin precession of the Dirac electron in counterpropagating plane electromagnetic waves
• Spin bath dynamics and dynamical Renormalization Group
• Quantum black holes as classical space factories
• Detecting Many-Body Scars from Fisher Zeros
• Powering an autonomous clock with quantum electromechanics
• Discrete time-crystalline order in Bose-Hubbard model with dissipation
• A Solvable Model for Discrete Time Crystal Enforced by Nonsymmorphic Dynamical Symmetry
• Eight-dimensional topological systems simulated using time-space crystalline structures
• Non-dispersing wave packets in lattice Floquet systems
• Ground state fractal crystals
• Discrete Lorentz symmetry and discrete time translational symmetry
• Supersymmetric relativistic quantum mechanics in time-domain
• Breaking of Time Translation Symmetry and Ergodicity, and Entropy decrease in a Continuous Time Crystal Driven by Nonreciprocal Optical Forces
• Off-diagonal cosmological solutions in emergent gravity theories and Grigory Perelman entropy for geometric flows
• Relativistic spacetime crystals
• Time dispersion in quantum electrodynamics
• Localized solutions of the Dirac equation in free space and electromagnetic space-time crystals
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Temporal localization of optical waves supported by a copropagating quasiperiodic structure
• Discrete Time Crystal Phase of Higher Dimensional Integrable Models
• Subharmonic spin correlations and spectral pairing in Floquet time crystals
• Time Crystals from single-molecule magnet arrays
• From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
• Derivation of the deformed Heisenberg algebra from discrete spacetime
• Simultaneous symmetry breaking in spontaneous Floquet states: temporal Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator
• Programmable time crystals from higher-order packing fields
• Time-tronics: from temporal printed circuit board to quantum computer
• Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals
• Counter-flow induced clustering: Exact results
• Thermodynamics of coupled time crystals with an application to energy storage
• Dynamical sectors of a relativistic two particle model
• The time crystal phase emerges from the qubit network under unitary random operations
• Emergence of spatial patterns and synchronization in superconducting time crystals
• Discrete time crystal made of topological edge magnons
• Topologically protected quantized changes of the distance between atoms
• Quantum metamorphism
• Dirac electron in a chiral space-time crystal created by counterpropagating circularly polarized plane electromagnetic waves
• Quantum Correlations in Space-Time: Foundations and Applications
• Nonexistence of spontaneous symmetry breakdown of time-translation symmetry on general quantum systems: Any macroscopic order parameter moves not!
• One-parameter supersymmetric Hamiltonians in momentum space
• Determination of magnon mass of neodymium magnet by temperature dependence of spontaneous magnetization
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion
• The Sub-Exponential Critical Slowing Down at Floquet Time Crystal Phase Transition
• Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
• Cosmology in $R^2$-gravity: Effects of a Higher Derivative Scalar Condensate Background
• Time crystal embodies chimeralike state in periodically driven quantum spin system
• Cosmological Time Crystals from Gauss-Bonnet Gravity in Four Dimensions
• Anisotropic odd viscosity via time-modulated drive
• Time crystals in primordial perturbations
• Generalized criteria of symmetry breaking. A strategy for quantum time crystals
• Deterministic many-body dynamics with multifractal response
• Generalized Liénard systems and isochronous connections
• Symmetry-induced fragmentation and dissipative time crystal
• Soft gravitons as Goldstone modes of spontaneously broken asymptotic symmetries in de Sitter spacetimes
• Time crystal optomechanics
• Integrable Floquet QFT: Elasticity and factorization under periodic driving
• Travelling Surface Plasmons with Interference Envelope and A Vision for Time Crystals
• K-nonizing
• Discrete time crystals enhanced by Stark potentials in Rydberg atom arrays
• Quantization and Renormalization and the Casimir Energy of a Scalar Field Interacting with a Rotating Ring
• The Symmetry Principle in Condensed Matter Physics (I)
• From Crystal Color Symmetry to Quantum Spacetime
• Ancilla assisted Discrete Time Crystals in Non-interacting Spin Systems
• Analytical view on N bodies interacting with quantum cavity in tight-binding model
• Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points
• Non-Hermitian Dirac theory from Lindbladian dynamics
• Critical behavior of a programmable time-crystal lattice gas
• Faraday Waves in strongly interacting superfluids
• Stability of the discrete time-crystalline order in spin-optomechanical and open cavity QED systems
• Effective dynamics and quantum state engineering by periodic kicks
• Nonlinear dynamics determines the thermodynamic instability of condensed matter in vacuo
• Nonperturbative decay of bipartite discrete time crystals
• Universality in Non-Equilibrium Quantum Systems
• Long-time properties of generic Floquet systems are approximately periodic with the driving period
• The Nakano-Nishijima-Gell-Mann Formula From Discrete Galois Fields
• Flavored extended instanton in QCD
• Poincaré index formula and analogy with the Kosterlitz-Thouless transition in a non-rotated cold atom Bose-Einstein condensate
• Classical periodic trajectories and quantum scars in many-spin systems
• Time-loops to spot torsion on bidimensional Dirac materials with dislocations
• The robustness condition for general disordered discrete time crystals, and subspace-thermal DTCs from phase transitions between different n-tuple DTCs
• Universal quantum melting of quasiperiodic attractors in driven-dissipative cavities
• Time Evolution in Quantum Mechanics with a Minimal Time Scale
• Effects of leakage on the realization of a discrete time crystal in a chain of singlet-triplet qubits
• Cosmology from Strong Interactions
• Stability of emergent time periodicity in a few-body interacting system
• Unification of Relativistic and Quantum Mechanics from Elementary Cycles Theory
• Solitons in lattice field theories via tight-binding supersymmetry
• Cosmological Frequency Combs
• Giga fine-structure constant in photonic solitons
• Observability of the scalar Aharonov-Bohm effect inside a 3D Faraday cage with time-varying exterior charges and masses
• Correlations in Circular Quantum Cascades
• Chiral supersolid and dissipative time crystal in Rydberg-dressed Bose-Einstein condensates with Raman-induced spin-orbit coupling
• Dark Energy from Time Crystals
• Condensed matter physics in big discrete time crystals
• ScarFinder: a detector of optimal scar trajectories in quantum many-body dynamics
• Exact analysis of AC sensors based on Floquet time crystals
• Persistent oscillation of a Cooper-pair condensate of topological defects in a nonintegrable quantum Ising chain
• Discrete time crystals detected by time-translation twist
• Time traps for electron-positron pairs
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation
• Metamaterial model of a time crystal
• Chronons in M-theory and F-theory
• Heat Superconductivity
• Realizable time crystal of four silicon quantum dot qubits
• Construction of the classical time crystal Lagrangians from Sisyphus dynamics and duality description with the Liénard type equation
• Quantum repetition codes as building blocks of large period discrete time crystals
• Metastable discrete time-crystal resonances in a dissipative central spin system
• Pre-Floquet states facilitating coherent subharmonic response of periodically driven many-body systems
• Defining and finding lifelike entities with a lazy filter
• Emergence of Imaginary Time Crystals in the non-Hermitian Su-Schrieffer-Heeger model
• Discrete time crystal for periodic-field sensing with quantum-enhanced precision
• Multimode NOON-state generation with ultracold atoms via geodesic counterdiabatic driving
• Many-body state and dynamic behaviour of the pair-correlation function of a small Bose-Einstein condensate confined in a ring potential
• Phase Transition of Topological Index driven by Dephasing
• Time Crystal from Self-Amplification of Spontaneous Analog Hawking Radiation
• Discrete time crystals in Bose-Einstein Condensates and symmetry-breaking edge in a simple two-mode theory
• Eight-fold classification of superconducting orders
• Time Crystals in Actively Mode-locked Lasers
• Harnessing Floquet dynamics for selective metrology in few-qubit systems
• Fock space prethermalization and time-crystalline order on a quantum processor
• Formation of Complex Discrete Time Crystals with Ultracold Atoms
• Discrete time crystal order in spin chains enabled by Floquet flat bands
• Frequency Comb Behavior of Time Crystals in an RF-Driven Dissipative Rydberg System
• Charge waves and dynamical signatures of topological phases in Su-Schrieffer-Heeger chains
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Quantum Boomerang Effect in Time-Crystalline Structures
• Adiabatic and irreversible classical discrete time crystals
• The Nature of Phantom Dark Energy and its Relation to Time Crystals
• Time dispersion in bound states
• Giant Kohn anomaly and chiral phonons in the charge density wave phase of 1H-NbSe${}_2$
• Intrinsic space-time crystalline order in a hybrid Josephson junction
• Electron Localization in Rydberg States
• Emergent time crystals from phase-space noncommutative quantum mechanics
• Logarithmic quantum time crystal
• Creation of two-dimensional coulomb crystals of ions in oblate Paul traps for quantum simulations
• A Quantum Informational Approach to the Problem of Time
• Autoresonant excitation of space-time quasicrystals in plasma
• Unpolarized prethermal discrete time crystal
• Scattering of two particles in a 1D lattice
• Peratic Phase Transition by Bulk-to-Surface Response
• Dynamics of spontaneous symmetry breaking in a space-time crystal
• Existence of quantum time crystals
• Slowly decaying real-time oscillations in instanton crystal
• A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains
• The role of atomic interactions in cavity-induced continuous time crystals
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