Comment on "Space-Time Crystals of Trapped Ions": And Yet it Moves Not !
arXiv:1211.4792 · doi:10.1103/PhysRevLett.111.029301
Abstract
A Comment on "Space-Time Crystals of Trapped ions", by Tongcang Li et al. (PRL 109, 163001 (2012); arXiv:1206.4772
1 page
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- Time crystals: a review
- Absence of Quantum Time Crystals
- Modeling spontaneous breaking of time-translation symmetry
- Discrete Time Crystals
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- Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem
- Pre-thermal phases of matter protected by time-translation symmetry
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- 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
- The isolated Heisenberg magnet as a quantum time crystal
- Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
- From a continuous to a discrete time crystal in a dissipative atom-cavity system
- Time crystal behavior of excited eigenstates
- Anderson localization and Mott insulator phase in the time domain
- Boundary time crystals in collective -level systems
- Integrability and chemical potential in the (3+1)-dimensional Skyrme model
- Anderson localization in the time domain
- Three-dimensional localized-delocalized Anderson transition in the time domain
- Symmetry-breaking dynamics of the finite-size Lipkin-Meshkov-Glick model near ground state
- Anderson localization of a Rydberg electron along a classical orbit
- Analytic (3+1)-dimensional gauged Skyrmions, Heun and Whittaker-Hill equations and resurgence
- Analytic topologically non-trivial solutions of the (3+1)-dimensional gauged Skyrme model and extended duality
- Coherent dynamics in frustrated coupled parametric oscillators
- Realizing time crystals in discrete quantum few-body systems
- Time Quasilattices in Dissipative Dynamical Systems
- Critical properties of the prethermal Floquet Time Crystal
- 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 Crystals in the Driven Transverse Field Ising Model under Quasiperiodic Modulation
- Time-crystalline behavior in an engineered spin chain
- Symmetric Satellite Swarms and Choreographic Crystals
- Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
- Mean-field thermodynamic quantum time-space crystal: spontaneous breaking of time-translation symmetry in a macroscopic fermion system
- Classical and quantum time crystals in a levitated nanoparticle without drive
- Time crystal and chaos in the hybrid atom-optomechanics system
- Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal
- Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
- Discrete time crystals enhanced by Stark potentials in Rydberg atom arrays
- Nonexistence of spontaneous symmetry breakdown of time-translation symmetry on general quantum systems: Any macroscopic order parameter moves not!
- Long-time properties of generic Floquet systems are approximately periodic with the driving period
- Slowly decaying real-time oscillations in instanton crystal
- Many-body state and dynamic behaviour of the pair-correlation function of a small Bose-Einstein condensate confined in a ring potential