Controlled preparation of phases in two-dimensional time crystals

Kuroś, Arkadiusz; Mukherjee, Rama; Mintert, Florian; Sacha, Krzysztof

doi:10.1103/physrevresearch.3.043203

Cited by 12 publications

(18 citation statements)

References 67 publications

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“…Although time is a single degree of freedom, crystalline structures in time with the properties of 2D (or 3D) condensed matter systems can be created by a BEC bouncing resonantly between two (or three) oscillating atom mirrors [32,44,[47][48][49].…”

Section: Higher-dimensional Time Latticesmentioning

confidence: 99%

“…In a 2D time lattice, one can also realize gradual breaking of the discrete time-translation symmetry when the motion along one of the two orthoganol directions breaks the symmetry and with a range of system parameters the motion along the other direction also reveals symmetry breaking [48].…”

Section: Higher-dimensional Time Latticesmentioning

confidence: 99%

“…Such a system has been shown to exhibit dramatic breaking of discrete time-translation symmetry in which the bouncing atoms can evolve with periods up to about 100 times longer than the period of the drive [34,35] (see also [11,36,37]). This allows the creation of big discrete time crystals possessing a large number of temporal lattice sites, which are suitable for realizing a broad range of condensed matter phenomena in the time dimension [38][39][40][41][42][43][44][45][46][47][48][49]. It has been shown for the case s = 2 that such discrete time crystals are robust against external perturbations [50] and quantum fluctuations [50,51] and live for extremely long times [51,52].…”

Section: Introductionmentioning

confidence: 99%

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Condensed matter physics in big discrete time crystals

Hannaford,

Sacha

2022

Preprint

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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 matter phenomena in the time dimension. Such a bouncing BEC system can exhibit dramatic breaking of time-translation symmetry, allowing the creation of discrete time crystals having up to about 100 temporal lattice sites and suitable for hosting a broad range of temporal condensed matter phenomena. We first consider single-particle condensed matter phenomena in the time dimension which include Anderson localization due to temporal disorder, topological time crystals, and quasi-crystal structures in time. We then discuss many-body temporal condensed matter phenomena including Mott insulator phases in time, manybody localization in time, many-body topological time crystals and time crystals having long-range exotic interactions. We also discuss the construction of two (or three) dimensional time lattices, involving the bouncing of a BEC between two (or three) orthogonal oscillating mirrors and between two oscillating mirrors oriented at 45-degrees. The latter configuration supports a versatile Möbius strip geometry which can host a variety of two-dimensional time lattices including a

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Section: Higher-dimensional Time Latticesmentioning

confidence: 99%

Section: Higher-dimensional Time Latticesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Condensed matter physics in big discrete time crystals

Hannaford,

Sacha

2022

Preprint

Self Cite

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show abstract

“…-Discrete time crystals created by a Bose-Einstein condensate (BEC) of ultracold atoms bouncing on an oscillating atom mirror can exhibit dramatic breaking of discrete time translational symmetry, where the bounc-ing atoms can evolve with periods up to about 100 times longer than the period of the driving mirror [19,22]. Such a system allows the creation of big time crystals possessing a large number of temporal lattice sites and are suitable for investigating condensed matter physics in the time dimension [25,[62][63][64][65][66][67][68][69][70][71]. These condensed matter phenomena may or may not involve spontaneous breaking of the discrete time translation symmetry.…”

mentioning

confidence: 99%

“…3). Use of this 2D time lattice allows gradual breaking of the discrete time translation symmetry when the motion along one of the two orthogonal directions breaks the symmetry and with a range of system parameters the motion along the other direction also reveals symmetry breaking [71].…”

mentioning

confidence: 99%