# Synthesizing lattice structures in phase space

@article{Guo2014SynthesizingLS, title={Synthesizing lattice structures in phase space}, author={Lingzhen Guo and Michael Marthaler}, journal={New Journal of Physics}, year={2014}, volume={18} }

In one dimensional systems, it is possible to create periodic structures in phase space through driving, which is called phase space crystals (Guo et al 2013 Phys. Rev. Lett. 111 205303). This is possible even if for particles trapped in a potential without periodicity. In this paper we discuss ultracold atoms in a driven optical lattice, which is a realization of such a phase space crystals. The corresponding lattice structure in phase space is complex and contains rich physics. A phase space…

## 22 Citations

### Floquet many-body engineering: topology and many-body physics in phase space lattices

- Physics
- 2017

Hamiltonians which are inaccessible in static systems can be engineered in periodically driven many-body systems, i.e., Floquet many-body systems. We propose to use interacting particles in a…

### Topological time crystals

- PhysicsNew Journal of Physics
- 2019

By analogy with the formation of space crystals, crystalline structures can also appear in the time domain. While in the case of space crystals we often ask about periodic arrangements of atoms in…

### Time crystals: Analysis of experimental conditions

- PhysicsPhysical Review A
- 2018

Time crystals are quantum many-body systems which are able to self-organize their motion in a periodic way in time. Discrete time crystals have been experimentally demonstrated in spin systems.…

### Time Crystal Platform: From Quasicrystal Structures in Time to Systems with Exotic Interactions.

- PhysicsPhysical review letters
- 2018

Here it is shown that condensed matter problems ranging from single particles in potentials of quasicrystal structure to many-body systems with exotic long-range interactions can be realized in the time domain with an appropriate periodic driving.

### Two-dimensional Thouless pumping in time-space crystalline structures

- PhysicsPhysical Review B
- 2022

Dynamics of a particle in a resonantly driven quantum well can be interpreted as that of a particle in a crystal-like structure, with the time playing the role of the coordinate. By introducing an…

### Condensed matter physics in big discrete time crystals

- PhysicsAAPPS Bulletin
- 2022

We review the application of discrete time crystals created in a Bose-Einstein condensate (BEC) of ultracold atoms bouncing resonantly on an oscillating atom mirror to the investigation of condensed…

### Dynamical quantum phase transitions in discrete time crystals

- PhysicsPhysical Review A
- 2018

Discrete time crystals are related to non-equilibrium dynamics of periodically driven quantum many-body systems where the discrete time translation symmetry of the Hamiltonian is spontaneously broken…

### Fractional time crystals

- PhysicsPhysical Review A
- 2019

Time crystals are quantum systems that are able to reveal condensed matter behavior in the time domain. It is known that crystallization in time can be observed in a periodically driven many-body…

### Lack of a genuine time crystal in a chiral soliton model

- PhysicsPhysical Review Research
- 2020

In a recent publication [Phys. Rev. Lett. {\bf 124}, 178902] Ohberg and Wright claim that in a chiral soliton model it is possible to realize a genuine time crystal which corresponds to a periodic…

### Relaxation dynamics and dissipative phase transition in quantum oscillators with period tripling

- PhysicsPhysical Review B
- 2020

Period tripling in driven quantum oscillators reveals unique features absent for linear and parametric drive, but generic for all higher-order resonances. Here, we focus at zero temperature on the…

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