Lack of a genuine time crystal in a chiral soliton model

Syrwid, Andrzej; Kosior, Arkadiusz; Sacha, Krzysztof

doi:10.1103/physrevresearch.2.032038

Cited by 18 publications

(9 citation statements)

References 74 publications

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“…This crucial insight has prompted several researchers to explore the possibility of realizing time crystals in non-equilibrium quantum systems [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. These efforts have been immensely fruitful and led to the development of an active area of research [27][28][29][30][31][32][33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

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: 99%

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

Choudhury

2021

Atoms

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Section: Introductionmentioning

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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“…The chiral solitons were considered for emulation of quantum time crystals (first envisaged by Wilczek in 2012 [27]) in circumferentially confined condensates with density-dependent gauge potentials [28][29][30]. However, this proposal was disputed since, in the thermodynamic limit of the latter setting, the lowest-energy ground state is realized by a static soliton, hence a genuine time crystal is not feasible [31,32].…”

Section: Introductionmentioning

confidence: 99%

Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity

Bhat,

Sivaprakasam,

Malomed

2021

Preprint

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By means of analytical and numerical methods, we address the modulational instability (MI) in chiral condensates governed by the Gross-Pitaevskii equation including the current nonlinearity. The analysis shows that this nonlinearity partly suppresses off the MI driven by the cubic self-focusing, although the current nonlinearity is not represented in the system's energy (although it modifies the momentum), hence it may be considered as zero-energy nonlinearity. Direct simulations demonstrate generation of trains of stochastically interacting chiral solitons by MI. In the ring-shaped setup, the MI creates a single traveling solitary wave. The sign of the current nonlinearity determines the direction of propagation of the emerging solitons.

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Lack of a genuine time crystal in a chiral soliton model

Cited by 18 publications

References 74 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

Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity

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