On the phase structure of driven quantum systems

Abstract

Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can exhibit distinct ordered phases delineated by sharp transitions. Some of these are analogs of equilibrium states with broken symmetries and topological order, while others - genuinely new to the Floquet problem - are characterized by order and non-trivial periodic dynamics. We illustrate these ideas in driven spin chains with Ising symmetry.

v3 - published version. Discussions expanded/clarified in few places

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Cited by in corpus (688)

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• Bose-Hubbard realization of fracton defects
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• Topological skyrmion phases of matter
• Controlled preparation of phases in two-dimensional time crystals
• Anomalous Random Multipolar Driven Insulators
• Many-Body Localization: Transitions in Spin Models
• Time-crystalline behavior in an engineered spin chain
• Spatiotemporally ordered patterns in a chain of coupled dissipative kicked rotors
• Self-similar phase diagram of the Fibonacci-driven quantum Ising model
• Absence of localization in two-dimensional Clifford circuits
• Tunable interface states between Floquet-Weyl semimetals
• Periodically driven random quantum spin chains : Real-Space Renormalization for Floquet localized phases
• Long-lived coherence in driven spin systems: from two to infinite spatial dimensions
• Energy Transfer into Period-Tripled States in Coupled Electromechanical Modes at Internal Resonance
• Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
• Suppression of inter-band heating for random driving
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Leveraging static quantum many-body scars into period-doubled responses
• Response of a quantum disordered spin system to a local periodic drive
• Topologically protected boundary discrete time crystal for a solvable model
• Dynamic renormalization group theory for open Floquet systems
• Indication of critical scaling in time during the relaxation of an open quantum system
• Sensing with discrete time crystals
• Proposed Fermi-surface reservoir-engineering and application to realizing unconventional Fermi superfluids in a driven-dissipative non-equilibrium Fermi gas
• Mean-field thermodynamic quantum time-space crystal: spontaneous breaking of time-translation symmetry in a macroscopic fermion system
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Absolutely stable time crystals at finite temperature
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model
• Thermodynamics and Phase Transition in Shapere-Wilczek {\it fgh} model: Cosmological Time Crystal in Quadratic Gravity
• Provenance of classical Hamiltonian time crystals
• Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder
• Anderson Molecules
• Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
• Comment on "Quantum Time Crystals from Hamiltonians with Long-Range Interactions"
• Topological $\pi$ modes and beyond
• Floquet engineered inhomogeneous quantum chaos in critical systems
• Tunable Spatiotemporal Orders in Driven Insulators
• Prethermalization in aperiodically driven classical spin systems
• Discrete time-crystals in unbounded potentials
• Robustness and eventual slow decay of bound states of interacting microwave photons in the Google Quantum AI experiment
• Floquet States
• Space-time symmetry breaking in nonequilibrium frustrated magnetism
• Defect bulk-boundary correspondence of topological skyrmion phases of matter
• Clean two-dimensional Floquet time-crystal
• Programmable Hamiltonian engineering with quadratic quantum Fourier transform
• From prethermalization to chaos in periodically driven coupled rotors
• Neural network enhanced hybrid quantum many-body dynamical distributions
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Coherent multiple-period states in a resonantly driven qubit
• Bloch-like energy oscillations
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Dynamic transition from insulating state to eta-pairing state in a composite non-Hermitian system
• Fate of Algebraic Many-Body Localization under driving
• Hopf algebras and solvable unitary circuits
• Localisation Transition in the Driven Aubry-André Model
• Classical and quantum time crystals in a levitated nanoparticle without drive
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Discrete time crystal in an open optomechanical system
• Theory for dissipative time crystals in coupled parametric oscillators
• Distinct Floquet topological classifications from color-decorated frequency lattices with space-time symmetries
• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Discrete Time Crystals with Absolute Stability
• Time-crystalline behavior in central-spin models with Heisenberg interactions
• Navigating the noise-depth tradeoff in adiabatic quantum circuits
• Streamlined Krylov construction and classification of ergodic Floquet systems
• Dynamical Quantum Phase Transitions in presence of a spin bath
• Driven Non-Unitary Dynamics of Quantum Critical Systems
• Classical Phase Space Crystals in an Open Environment
• Topologically ordered time crystals
• Thermodynamics and Protection of Discrete-Time Crystals
• Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor
• How periodic driving stabilises and destabilises Anderson localisation on random trees
• Floquet engineering multi-channel Kondo physics
• Seasonal epidemic spreading on small-world networks: Biennial outbreaks and classical discrete time crystals
• Formation of Spatial Patterns by Spin-selective Excitations of Interacting Fermions
• Robust Oscillations and Edge Modes in Nonunitary Floquet Systems
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware
• Robust unidirectional phantom helix states in the XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
• Nonequilibrium quantum order at infinite temperature: spatiotemporal correlations and their generating functions
• Prolonging a discrete time crystal by quantum-classical feedback
• Quantum quench in a driven Ising chain
• Disorder induced topological phase transition in a driven Majorana chain
• Swapping Floquet time crystal
• Unveiling clean two-dimensional discrete time crystals on a digital quantum computer
• Basis for time crystal phenomena in ultra-cold atoms bouncing on an oscillating mirror
• Topological excitations at time vortices in periodically driven systems
• Dynamical potentials for non-equilibrium quantum many-body phases
• Duality defect in a deformed transverse-field Ising model
• Opening Krylov space to access all-time dynamics via dynamical symmetries
• A metronome spin stabilizes time-crystalline dynamics
• Non-dispersing wave packets in lattice Floquet systems
• Characterizing quantum chaoticity of kicked spin chains
• Floquet-engineered Emergent Massive Nambu-Goldstone Modes
• Fragility to quantum fluctuations of classical Hamiltonian period doubling
• Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
• Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal
• Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
• Emergent time crystal from a fractional Langevin equation with white and colored noise
• Quantifying spatio-temporal patterns in classical and quantum systems out of equilibrium
• Dephasing-induced growth of discrete crystalline order in spin networks
• Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems
• Prethermalization in periodically-driven nonreciprocal many-body spin systems
• Long-range coupling between superconducting dots induced by periodic driving
• Floquet Amorphous Topological Orders in a One-dimensional Rydberg Glass
• From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Direct driving of electronic and phononic degrees of freedom in a honeycomb bilayer with infrared light
• Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals
• The time crystal phase emerges from the qubit network under unitary random operations
• Engineering subharmonic responses beyond prethermalization via Floquet scar states
• Temporal localization of optical waves supported by a copropagating quasiperiodic structure
• Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well
• Subharmonic spin correlations and spectral pairing in Floquet time crystals
• Moment method and continued fraction expansion in Floquet Operator Krylov Space
• Discrete Lorentz symmetry and discrete time translational symmetry
• Floquet topological phase transitions induced by uncorrelated or correlated disorder
• Complete characterization of spin chains with two Ising symmetries
• Ultra-critical Floquet Non-Fermi Liquid
• Discrete Time Crystal Phase of Higher Dimensional Integrable Models
• Engineering Hierarchical Symmetries
• Floquet Product Mode
• Time Crystals from single-molecule magnet arrays
• Topological frequency conversion in rhombohedral multilayer graphene
• Stark Many-Body Localisation Under Periodic Driving
• Time-tronics: from temporal printed circuit board to quantum computer
• Emergence of spatial patterns and synchronization in superconducting time crystals
• Topologically protected quantized changes of the distance between atoms
• Topological Phases of Many-Body Localized Systems: Beyond Eigenstate Order
• Quantum metamorphism
• Efficient quantum information probes of non-equilibrium quantum criticality
• Floquet prethermalization with lifetime exceeding 90s in a bulk hyperpolarized solid
• Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive
• Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
• Deterministic many-body dynamics with multifractal response
• Deviations from random matrix entanglement statistics for kicked quantum chaotic spin-$1/2$ chains
• Superconvergence of Topological Entropy in the Symbolic Dynamics of Substitution Sequences
• The Sub-Exponential Critical Slowing Down at Floquet Time Crystal Phase Transition
• Statistical prethermalization in randomly kicked many-body classical rotor system
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor
• Integrable Floquet QFT: Elasticity and factorization under periodic driving
• Diagnosing quantum transport from wave function snapshots
• Time crystal embodies chimeralike state in periodically driven quantum spin system
• Dynamical signatures of symmetry protected topology following symmetry breaking
• Periodically Driven Many-Body Systems: A Floquet Density Matrix Renormalization Group Study
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Ancilla assisted Discrete Time Crystals in Non-interacting Spin Systems
• Symmetry-induced fragmentation and dissipative time crystal
• The Symmetry Principle in Condensed Matter Physics (I)
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Strong frequency dependence of transport in the driven Fano-Anderson model
• Discrete time crystals enhanced by Stark potentials in Rydberg atom arrays
• Anatomy of localisation protected quantum order on Hilbert space
• Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
• Quantized frequency-domain polarization of driven phases of matter
• Stable time rondeau crystals in dissipative many-body systems
• Prethermalization, shadowing breakdown, and the absence of Trotterization transition in quantum circuits
• Emergent Time Crystal with Tunable Period in the Uniaxial Random Field XY Magnet
• Scaling of Loschmidt echo in boundary driven critical Z-3 Potts model
• openMMF: a library for multimode driven quantum systems
• Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology
• Strong and almost strong modes of Floquet spin chains in Krylov subspaces
• Electronic Mechanism that Quenches Field-Driven Heating as Illustrated with the Static Holstein Model
• Seeding crystallization in time
• Effective dynamics and quantum state engineering by periodic kicks
• Condensed matter physics in big discrete time crystals
• Observation of tunable discrete time crystalline phases
• Long-time properties of generic Floquet systems are approximately periodic with the driving period
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• Correlations in Circular Quantum Cascades
• The robustness condition for general disordered discrete time crystals, and subspace-thermal DTCs from phase transitions between different n-tuple DTCs
• $2+1$ dimensional Floquet systems and lattice fermions: Exact bulk spectral equivalence
• Information scrambling and entanglement dynamics in Floquet Time Crystals
• Nonperturbative decay of bipartite discrete time crystals
• Realization of Two-dimensional Discrete Time Crystals with Anisotropic Heisenberg Coupling
• Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer
• Critical behavior of a programmable time-crystal lattice gas
• Discrete time crystals detected by time-translation twist
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Stability of the discrete time-crystalline order in spin-optomechanical and open cavity QED systems
• Low-frequency and Moiré Floquet engineering: a review
• Universality in Non-Equilibrium Quantum Systems
• Floquet engineering of topological phases protected by emergent symmetries under resonant drives
• Quantum dynamics of a spin model with an extensive degeneracy
• Phase Transition of Topological Index driven by Dephasing
• Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap
• Topological energy pumping in a quasi-periodically driven four-level system
• Noise resilience of two-dimensional Floquet topological phases
• Time Crystals in Actively Mode-locked Lasers
• Harnessing Floquet dynamics for selective metrology in few-qubit systems
• Quantum sensing with discrete time crystals in the Lipkin-Meshkov-Glick Model
• Fock space prethermalization and time-crystalline order on a quantum processor
• Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain
• Many-body state and dynamic behaviour of the pair-correlation function of a small Bose-Einstein condensate confined in a ring potential
• Strong zero modes in integrable spin-S chains
• Intervalley Band Crossing and Transition of Fractional Chern Insulators in Floquet Twisted Bilayer MoTe${}_2$
• Discrete time crystal order in spin chains enabled by Floquet flat bands
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Quantum Boomerang Effect in Time-Crystalline Structures
• Chiral Instabilities in Driven-Dissipative Quantum Liquids
• Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators
• Engineering micromotion in Floquet prethermalization via space-time symmetries
• Anomalous transport in U(1)-symmetric quantum circuits
• Towards Timetronics with Photonic Systems
• Logarithmic quantum time crystal
• The mixing-spacetime symmetry in the Floquet-Bloch band theory
• Realizable time crystal of four silicon quantum dot qubits
• Orbital magnetization of Floquet topological systems
• Quantum repetition codes as building blocks of large period discrete time crystals
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Metastable discrete time-crystal resonances in a dissipative central spin system
• Nonergodic delocalized paramagnetic states in quantum neural networks
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
• A comment on "Discrete time crystals: rigidity, criticality, and realizations"
• Slowly decaying real-time oscillations in instanton crystal
• Thouless Energy Across Many-Body Localization Transition in Floquet Systems
• Peratic Phase Transition by Bulk-to-Surface Response
• Quadratic Models for Engineered Control of Open Quantum Systems
• Non-Abelian statistics in light scattering processes across interacting Haldane chains
• Star-topology Registers: NMR and Quantum Information Perspectives
• Floquet dynamics of disordered bands with isolated critical energies
• Interaction-induced long-time tail of a nonlinear ac absorption in a localized system: a relay-race mechanism
• Controlled bit-flip of period-doubling and discrete time crystalline states in open systems
• Rydberg Atoms in a Ladder Geometry: Quench Dynamics and Floquet Engineering
• Formation of Complex Discrete Time Crystals with Ultracold Atoms
• Discrete time crystal for periodic-field sensing with quantum-enhanced precision
• Discrete time crystals in Bose-Einstein Condensates and symmetry-breaking edge in a simple two-mode theory