On the long-term stability of space-time crystals
arXiv:2007.07038 · doi:10.1088/1367-2630/abbae9
Abstract
We investigate a space-time crystal in a superfluid Bose gas. Using a well-controlled periodic drive we excite only one crystalline mode in the system, which can be accurately modeled in the rotating frame of the drive. Using holographic imaging we observe the stability of the crystal over an extended period of time and show the robustness of its structure in both space and time. By introducing a fourth-order term in the Hamiltonian we show that the crystal stabilizes at a fixed number of quanta. The results of the model are compared to the experimental data and show good agreement, with a small number of free parameters. The results yield insights in the long-term stability of the crystal, which can only be obtained by the combination of the extended control in the experiment and the nearly ab-initio character of the model. From the model we derive a phase diagram of the system, which can be exploited in the future to study the phase transitions for this new state of matter in even more detail.
arXiv commentSubmitted to the Focus on Time Crystals issue of New Journal of Physics
References in corpus (30)
- 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
- Quantum Time Crystals
- Regimes of quantum degeneracy in trapped 1D gases
- Absence of Quantum Time Crystals
- Classical Time Crystals
- Modeling spontaneous breaking of time-translation symmetry
- Boundary time crystals
- Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
- Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
- Pre-thermal phases of matter protected by time-translation symmetry
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Observation of time quasicrystal and its transition to superfluid time crystal
- Observation of a space-time crystal in a superfluid quantum gas
- 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?
- Phase Space Crystals: A New Way to Create a Quasienergy Band Structure
- Time crystals: can diamagnetic currents drive a charge density wave into rotation?
- Classical many-body time crystals
- P NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate
- Time crystals in a shaken atom-cavity system
- Prethermal time crystals in a one-dimensional periodically driven Floquet system
- Non-destructive spatial heterodyne imaging of cold atoms
- Spatial-Translation-Induced Discrete Time Crystals
- Critical fluctuations and the rates of interstate switching near excitation threshold of a quantum parametric oscillator
- Dynamics of a Space-Time Crystal in an Atomic Bose-Einstein Condensate
- Imaging trapped quantum gases by off-axis holography
Cited by in corpus (8)
- Colloquium: Quantum and Classical Discrete Time Crystals
- Many-Body Effects and Quantum Fluctuations for Discrete Time Crystals in Bose-Einstein Condensates
- Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
- Spontaneous symmetry breaking in a driven-dissipative system
- Observation of pattern stabilization in a driven superfluid
- Parametric pair production of collective excitations in a Bose-Einstein condensate
- Discrete time crystals in Bose-Einstein Condensates and symmetry-breaking edge in a simple two-mode theory
- Dynamics of spontaneous symmetry breaking in a space-time crystal