Comment on "Quantum Time Crystals": a new paradigm or just another proposal of perpetuum mobile?

Abstract

A Comment on Frank Wilczek's paper "Quantum Time Crystals" (Phys. Rev. Lett. 109, 160401 (2012); arXiv:1202.2539).

arXiv comment1 page

References in corpus (2)

• Quantum Time Crystals
• Stability of the quantized circulation of an attractive Bose-Einstein condensate in a rotating torus

Cited by in corpus (100)

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• Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem
• Pre-thermal phases of matter protected by time-translation symmetry
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• Observation of time quasicrystal and its transition to superfluid time crystal
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• Temporal order in periodically driven spins in star-shaped clusters
• Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
• Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
• Quantum Time Crystals from Hamiltonians with Long-Range Interactions
• The isolated Heisenberg magnet as a quantum time crystal
• Floquet time crystals in clock models
• Time crystals: can diamagnetic currents drive a charge density wave into rotation?
• Dynamical quantum phase transitions: a brief survey
• Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
• Time crystal behavior of excited eigenstates
• Comment on "Space-Time Crystals of Trapped Ions": And Yet it Moves Not !
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• Condensed Matter Physics in Time Crystals
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• Boundary time crystals in collective $d$-level systems
• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Optically trapped polariton condensates as semiclassical time crystals
• Anderson localization in the time domain
• Dissipative time crystals with long-range Lindbladians
• On quantum time crystals and interacting gauge theories in atomic Bose-Einstein condensates
• Three-dimensional localized-delocalized Anderson transition in the time domain
• On the broken time translation symmetry in macroscopic systems: precessing states and off-diagonal long-range order
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• Anderson localization of a Rydberg electron along a classical orbit
• 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
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Coffee stains, cell receptors, and time crystals: Lessons from the old literature
• Cosmological Time Crystal: Cyclic Universe with a small $\Lambda$ in a toy model approach
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• Experimental Realization of Discrete Time Quasi-Crystals
• Dynamics of a Space-Time Crystal in an Atomic Bose-Einstein Condensate
• Comment on "Quantum Time Crystals and Interacting Gauge Theories in Atomic Bose-Einstein Condensates"
• Proof of the absence of long-range temporal orders in Gibbs states
• Particle models with self sustained current
• Realizing time crystals in discrete quantum few-body systems
• Stabilization and manipulation of multispin states in quantum-dot time crystals with Heisenberg interactions
• Time Quasilattices in Dissipative Dynamical Systems
• Critical properties of the prethermal Floquet Time Crystal
• Homogeneous Floquet time crystal from weak ergodicity breaking
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
• Probing non-equilibrium topological order on a quantum processor
• Lack of a genuine time crystal in a chiral soliton model
• Persistent currents in ultracold gases
• Nonequilibrium transition between dissipative time crystals
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Space-Time Quasicrystal Structures and Inflationary and Late Time Evolution Dynamics in Accelerating Cosmology
• Time Crystal in a Single-mode Nonlinear Cavity
• Discrete time crystal in the gradient field Heisenberg model
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Floquet dynamics of classical and quantum cavity fields
• Magnon Bose-Einstein condensates: from time crystals and quantum chromodynamics to vortex sensing and cosmology
• Dynamical nonlocality in quantum time via modular operators
• On the long-term stability of space-time crystals
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• Time-crystalline behavior in an engineered spin chain
• Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
• Symmetric Satellite Swarms and Choreographic Crystals
• Out of equilibrium chiral higher order topological insulator on a $\pi$-flux square lattice
• 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
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• Can a bright soliton model reveal a genuine time crystal for a finite number of bosons?
• Cosmological Time Crystals From Einstein-Cubic Gravities
• Continuous time crystal from a spontaneous many-body Floquet state
• Emergent time crystal from a fractional Langevin equation with white and colored noise
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• From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
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• Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
• Cosmological Time Crystals from Gauss-Bonnet Gravity in Four Dimensions
• 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!
• Universality in Non-Equilibrium Quantum Systems
• Long-time properties of generic Floquet systems are approximately periodic with the driving period
• Metastable discrete time-crystal resonances in a dissipative central spin system
• Fock space prethermalization and time-crystalline order on a quantum processor
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• Slowly decaying real-time oscillations in instanton crystal
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• Metamaterial model of a time crystal