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… 

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

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

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

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.

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

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

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

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

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

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

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

References

SHOWING 1-10 OF 59 REFERENCES

Phase space crystals: a new way to create a quasienergy band structure.

An explicit model to realize a phase space crystal and analyze its band structure in the frame of a tight-binding approximation is proposed, which opens new ways to engineer energy band structures, with the added advantage that its properties can be changed in situ by tuning the driving field's parameters.

Space-time crystals of trapped ions.

The proposed space-time crystals of trapped ions provide a new dimension for exploring many-body physics and emerging properties of matter and are robust for direct experimental observation.

Tunable gauge potential for neutral and spinless particles in driven optical lattices.

This work presents a universal method to create a tunable, artificial vector gauge potential for neutral particles trapped in an optical lattice and investigates possible implementations of this scheme to create tunable magnetic fluxes, going towards model systems for strong-field physics.

Dynamical phase transitions and instabilities in open atomic many-body systems.

An open driven-dissipative many-body system, in which the competition of unitary Hamiltonian and dissipative Liouvillian dynamics leads to a nonequilibrium phase transition, is discussed, finding a novel fluctuation induced dynamical instability.

Dynamical tunnelling of ultracold atoms

Dynamical tunnelling of ultracold atoms from a Bose–Einstein condensate in an amplitude-modulated optical standing wave is observed, observing coherent tunneling back and forth between their initial state of oscillatory motion and the state oscillating 180° out of phase with the initial state.

Optics of photonic quasicrystals

The physics of periodic systems are of fundamental importance and result in various phenomena that govern wave transport and interference. However, deviations from periodicity may result in higher

Spectral Noncommutative Geometry and Quantization

We explore the relation between noncommutative geometry, in the spectral triple formulation, and quantum mechanics. To this aim, we consider a dynamical theory of a noncommutative geometry defined by

Classical time crystals.

This work considers the possibility that classical dynamical systems display motion in their lowest-energy state, forming a time analogue of crystalline spatial order, and exhibits models of that kind, including a model with traveling density waves.

Ultracold quantum gases in optical lattices

Artificial crystals of light, consisting of hundreds of thousands of optical microtraps, are routinely created by interfering optical laser beams. These so-called optical lattices act as versatile
...