Discrete time crystal in a finite chain of Rydberg atoms without disorder

Fan, Chu-Hui; Rossini, Davide; Zhang, Han-Xiao; Wu, Jin-Hui; Artoni, M.; Rocca, G. C. La

doi:10.1103/physreva.101.013417

Cited by 31 publications

(14 citation statements)

References 67 publications

(123 reference statements)

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“…It is interesting to note that for this optimal interaction strength J, strong disorder leads to thermalization. Our results provide a novel route for extending the lifetime of DTCs in translation-invariant systems, and can guide the experimental realizations of DTCs [65][66][67][68].…”

Section: Introductionmentioning

confidence: 77%

“…If P(t) exhibits robust sub-harmonic oscillations for long times, we conclude that the system is in the DTC phase. In the DTC phase, the stroboscopic return probability at times 2nT remains almost constant for a very long time, and the DTC lifetime, n * is usually defined to be the number of drive periods, after which P(2nT) falls below a critical value (∼0.05) [40,51,67]. The rationale for using this measure to quantify lifetime is the following: the Fourier transform of P(t) taken up to a time t < 2n * T exhibits a peak at ω/2, whereas this peak splits when the Fourier transform is taken over longer times; thus, the DTC exhibits persistent sub-harmonic oscillations at a rigid rhythm up to a time, t ∼ 2n * T (see Figure 2).…”

Section: Modelmentioning

confidence: 99%

“…Before we conclude, it is instructive to discuss potential experimental realizations of our proposal. A promising platform to test our predictions is a Rydberg atom chain [67]. In this system, the atomic ground state and a chosen Rydberg state can be mapped to a pseudospin-1/2 system; the periodic kick can be simulated using a periodically modulated laser beam that couples these states [76][77][78].…”

Section: Experimental Realizationmentioning

confidence: 99%

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Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain without Disorder

Choudhury

2021

Atoms

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Periodically driven (Floquet) systems are described by time-dependent Hamiltonians that possess discrete time translation symmetry. The spontaneous breaking of this symmetry leads to the emergence of a novel non-equilibrium phase of matter—the Discrete Time Crystal (DTC). In this paper, we propose a scheme to extend the lifetime of a DTC in a paradigmatic model—a translation-invariant Ising spin chain with nearest-neighbor interaction J, subjected to a periodic kick by a transverse magnetic field with frequency 2πT. This system exhibits the hallmark signature of a DTC—persistent sub-harmonic oscillations with frequency πT—for a wide parameter regime. Employing both analytical arguments as well as exact diagonalization calculations, we demonstrate that the lifetime of the DTC is maximized, when the interaction strength is tuned to an optimal value, JT=π. Our proposal essentially relies on an interaction-induced quantum interference mechanism that suppresses the creation of excitations, and thereby enhances the DTC lifetime. Intriguingly, we find that the period doubling oscillations can last eternally in even size systems. This anomalously long lifetime can be attributed to a time reflection symmetry that emerges at JT=π. Our work provides a promising avenue for realizing a robust DTC in various quantum emulator platforms.

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Section: Introductionmentioning

confidence: 77%

Section: Modelmentioning

confidence: 99%

Section: Experimental Realizationmentioning

confidence: 99%

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Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain without Disorder

Choudhury

2021

Atoms

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“…In the DTC phase, the stroboscopic return probability at times 2nT remains almost constant for a very long time, and the DTC lifetime, n * is usually defined to be the number of drive periods, after which P (2nT ) falls below a critical value (∼ 0.05) [40,51,67]. The rationale for using this measure to quantify lifetime is the following: the Fourier transform of P (t) taken up to a time t < 2n * T exhibits a peak at ω/2, whereas this peak splits when the Fourier transform is taken over longer times; thus, the DTC exhibits persistent sub-harmonic oscillations at a rigid rhythm up to a time, t ∼ 2n * T .…”

Section: Modelmentioning

confidence: 99%

Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder

Choudhury¹

2021

Preprint

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Periodically driven (Floquet) systems are described by time dependent Hamiltonians that possess discrete time translation symmetry. The spontaneous breaking of this symmetry leads to the emergence of a novel non-equilibrium phase of matter -the Discrete Time Crystal (DTC). In this paper, we propose a scheme to extend the lifetime of a DTC in a paradigmatic model -a translation invariant Ising spin chain with nearest-neighbor interaction J, subjected to a periodic kick by a transverse magnetic field with frequency 2π T . This system exhibits the hallmark signature of a DTC -persistent subharmonic oscillations with frequency π T -for a wide parameter regime. Employing both analytical arguments as well as exact diagonalization calculations, we demonstrate that the lifetime of the DTC is maximized, when the interaction strength is tuned to an optimal value, JT = π. Our proposal essentially relies on an interaction induced quantum interference mechanism that suppresses the creation of excitations, and thereby enhances the DTC lifetime. Intriguingly, we find that the period doubling oscillations can last eternally in even size systems. This anomalously long lifetime can be attributed to a time reflection symmetry that emerges at JT = π. Our work provides a promising avenue for realizing a robust DTC in various quantum emulator platforms.

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“…Watanabe and Oshikawa (WO) reformulate the idea of quantum TC [28], and present a refined no-go theorem for many-body systems without too long-range interactions [28]. Most recent efforts on this topic are directed towards nonequilibrium discrete/Floquet TC breaking discrete TTS [29][30][31][32][33][34], particularly in systems with disorder that facili-tate many-body localizations [30,33], in addition to clean systems [35][36][37][38]. Ongoing studies are further extended to open systems with Floquet driving in the presence of dissipation [39][40][41][42][43], with experimental investigations reported for a variety of systems [44][45][46][47][48][49][50].…”

mentioning

confidence: 99%

Quantum Phases of Time Order in Many-Body Ground States

Guo

You

2021

Preprint

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Understanding phases of matter is of both fundamental and practical importance. Prior to the widespread appreciation and acceptance of topological order, the paradigm of spontaneous symmetry breaking, formulated along the Landau-Ginzburg-Wilson (LGW) dogma, is central to understanding phases associated with order parameters of distinct symmetries and transitions between phases. This work proposes to identify ground state phases of quantum many-body system in terms of time order, which is operationally defined by the appearance of nontrivial temporal structure in the two-time auto-correlation function of a symmetry operator (order parameter). As a special case, the (symmetry protected) time crystalline order phase detects continuous time crystal (CTC). Time order phase diagrams for spin-1 atomic Bose-Einstein condensate (BEC) and quantum Rabi model are fully worked out. Besides time crystalline order, the intriguing phase of time functional order is discussed in two non-Hermitian interacting spin models.

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Discrete time crystal in a finite chain of Rydberg atoms without disorder

Cited by 31 publications

References 67 publications

Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain without Disorder

Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain without Disorder

Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder

Quantum Phases of Time Order in Many-Body Ground States

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