Synthetic random flux model in a periodically driven optical lattice

Major, Jan; Płodzień, Marcin; Dutta, Omjyoti; Zakrzewski, Jakub

doi:10.1103/physreva.96.033620

Cited by 5 publications

(3 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The localization of eigenstates is accompanied by the inhibition of transport in a disordered system. Anderson localization has also been studied in disordered systems with fast periodic time modulations [73][74][75]. Actually, the presence of a spatially periodic potential is not necessary.…”

Section: Anderson Localization In Timementioning

confidence: 99%

Time crystals: Analysis of experimental conditions

et al. 2018

View full text Add to dashboard Cite

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. However, the first idea of spontaneous breaking of discrete time translation symmetry, in ultra-cold atoms bouncing on an oscillating mirror, still awaits experimental demonstration. Here, we perform a detailed analysis of the experimental conditions needed for the realization of such a discrete time crystal. Importantly, the considered system allows for the realization of dramatic breaking of discrete time translation symmetry where a symmetry broken state evolves with a period tens of times longer than the driving period. Moreover, atoms bouncing on an oscillating mirror constitute a suitable system for the realization of dynamical quantum phase transitions in discrete time crystals and for the demonstration of various non-trivial condensed matter phenomena in the time domain. We show that Anderson localization effects, which are typically associated with spatial disorder and exponential localization of eigenstates of a particle in configuration space, can be observed in the time domain when ultra-cold atoms are bouncing on a randomly moving mirror.

show abstract

Section: Anderson Localization In Timementioning

confidence: 99%

Time crystals: Analysis of experimental conditions

et al. 2018

View full text Add to dashboard Cite

show abstract

“…The presence of the random gauge fields delocalizes the interacting system [41] and many-body states become extended into a single Landau level [42]. Despite numerous studies on the topic of MBL, the effects of time-reversal symmetry breaking on localization phenomena have been sparsely studied [43] and this is the subject of the present study.…”

Section: Introductionmentioning

confidence: 97%

Many-body localization with synthetic gauge fields in disordered Hubbard chains

Suthar,

Sierant,

Zakrzewski

2020

Preprint

Self Cite

View full text Add to dashboard Cite

“…This is particularly true for optical lattice potentials where different lattice geometries can be realised [7], on-site potentials as well as tunnelings can be tailored. Moreover, artificial gauge fields can be simulated often adapting periodic modulations of lattice parameters or interactions [8][9][10][11][12][13][14][15][16][17]. Of particular value is the control over the interaction strength by means of Feshbach resonances [18].…”

Section: Introductionmentioning

confidence: 99%

Single-particle localization in dynamical potentials

2018

Self Cite

View full text Add to dashboard Cite

Single particle localization of an ultra-cold atom is studied in one dimension when the atom is confined by an optical lattice and by the incommensurate potential of a high-finesse optical cavity. In the strong coupling regime the atom is a dynamical refractive medium, the cavity resonance depends on the atomic position within the standing-wave mode and nonlinearly determines the depth and form of the incommensurate potential. We show that the particular form of the quasi-random cavity potential leads to the appearance of mobility edges, even in presence of nearest-neighbour hopping. We provide a detailed characterization of the system as a function of its parameters and in particular of the strength of the atom-cavity coupling, which controls the functional form of the cavity potential. For strong atom-photon coupling the properties of the mobility edges significantly depend on the ratio between the periodicities of the confining optical lattice and of the cavity field. arXiv:1808.07509v2 [cond-mat.dis-nn]

show abstract

Synthetic random flux model in a periodically driven optical lattice

Cited by 5 publications

References 53 publications

Time crystals: Analysis of experimental conditions

Time crystals: Analysis of experimental conditions

Many-body localization with synthetic gauge fields in disordered Hubbard chains

Single-particle localization in dynamical potentials

Contact Info

Product

Resources

About