Discrete time quasicrystals

Giergiel, Krzysztof; Kuroś, Arkadiusz; Sacha, Krzysztof

doi:10.1103/physrevb.99.220303

Cited by 71 publications

(46 citation statements)

References 81 publications

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“…The latter finding demonstrates that even a heating regime can support nontrivial emergent structures as a system is driven towards the infinite-temperature fixed point. Our system breaks translation symmetry in space via a smooth deformation of hopping parameters, rather than short-range correlated disorder, and in time due to a quasiperiodic drive, which has also been in the focus of several other recent works that study (the absence of) heating [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 88%

Fine structure of heating in a quasiperiodically driven critical quantum system

Lapierre

Choo

Tiwari

et al. 2020

Phys. Rev. Research

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We study the heating dynamics of a generic one-dimensional critical system when driven quasiperiodically. Specifically, we consider a Fibonacci drive sequence comprising the Hamiltonian of uniform conformal field theory (CFT) describing such critical systems and its sine-square deformed counterpart. The asymptotic dynamics is dictated by the Lyapunov exponent which has a fractal structure embedding Cantor lines where the exponent is exactly zero. Away from these Cantor lines, the system typically heats up fast to infinite energy in a nonergodic manner where the quasiparticle excitations congregate at a small number of select spatial locations resulting in a buildup of energy at these points. Periodic dynamics with no heating for physically relevant timescales is seen in the high-frequency regime. As we traverse the fractal region and approach the Cantor lines, the heating slows enormously and the quasiparticles completely delocalize at stroboscopic times. Our setup allows us to tune between fast and ultraslow heating regimes in integrable systems.

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Section: Introductionmentioning

confidence: 88%

Fine structure of heating in a quasiperiodically driven critical quantum system

Lapierre

Choo

Tiwari

et al. 2020

Phys. Rev. Research

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“…Time crystals involving resonantly bouncing ultracold atoms provide a platform for investigating a broad range of non-trivial condensed matter phenomena in the time domain. These include Mott insulator-like phases in the time-domain [23]; Anderson localization [6,23] and many-body localization [24] due to temporal disorder; dynamical quantum phase transitions in time crystals [6,25]; many-body systems with exotic long-range interactions [26]; time quasi-crystals  which are ordered but not periodic in time [26,27]; and topological time crystals [28].…”

Section: Discussionmentioning

confidence: 99%

“…These time crystals can evolve with a period more than an order of magnitude (s ≫ 10) longer than the driving period, thereby creating a large number of available 'lattice sites' in the time domain. Such a system provides a platform for investigating a broad range of nontrivial condensed matter phenomena in the time domain [6,[23][24][25][26][27][28]. In Refs.…”

Section: Introductionmentioning

confidence: 99%

Creating big time crystals with ultracold atoms

Giergiel

Sacha

Tran

et al. 2019

AOS Australian Conference on Optical Fibre Technology (ACOFT) and Australian Conference on Optics, Lasers, and Spectroscopy (AC

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We investigate the size of discrete time crystals in the range s = 10 100 (ratio of response period to driving period) that can be created for a Bose-Einstein condensate (BEC) bouncing resonantly on an oscillating mirror. We consider the effects of having a realistic soft Gaussian potential mirror for the bouncing BEC, such as that produced by a repulsive light-sheet, which is found to have a significant effect on the dynamics of the system. Finally, we discuss the choice of atomic system for creating time crystals based on a bouncing BEC and present an experimental protocol for realizing big time crystals. Such a system provides a platform for investigating a broad range of non-trivial condensed matter phenomena in the time domain.

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“…Recently, the authors of [7] pointed out that the DTC can generally exist in systems without disorder. The generalization of the concept of DTC to discrete time quasicrystals is also presented recently [8].…”

Section: Introductionmentioning

confidence: 99%

Discrete time-crystalline order in Bose–Hubbard model with dissipation

Dai

2020

New J. Phys.

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Periodically driven quantum systems manifest various non-equilibrium features which are absent at equilibrium. For example, discrete time-translation symmetry can be broken in periodically driven quantum systems leading to an exotic phase of matter, called discrete time crystal (DTC). For open quantum systems, previous studies showed that DTC can be found only when there exists a metastable state in the undriven system. However, by investigating the simplest Bose-Hubbard model with dissipation and time periodically tunneling, we find in this paper that a 2T DTC can appear even when the meta-stable state is absent in the undriven system. This observation extends the understanding of DTC and shed more light on the physics behind the DTC. Besides, by the detailed analysis of simplest two-sites model, we show further that the two-sites model can be used as basic building blocks to construct large rings in which a nT DTC might appear. These results might find applications into engineering exotic phases in driven open quantum systems.

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Discrete time quasicrystals

Cited by 71 publications

References 81 publications

Fine structure of heating in a quasiperiodically driven critical quantum system

Fine structure of heating in a quasiperiodically driven critical quantum system

Creating big time crystals with ultracold atoms

Discrete time-crystalline order in Bose–Hubbard model with dissipation

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