Topological quantum pumping in spin-dependent superlattices with glide symmetry

Chen, Qianqian; Cai, Jianming; Zhang, Shaoliang

doi:10.1103/physreva.101.043614

Cited by 9 publications

(4 citation statements)

References 51 publications

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“…Future developments will include studies of the real-time evolution of this model, including the quantum quench and periodically driven dynamics. In general, ergodicity breaking indicates that the system will not equilibrate to a thermal state, but whether it will approach a nonther-mal steady state or exhibit persistent oscillations like the quantum scar [8] or the infinite-range interacting systems [34][35][36] is an interesting question worthy of further study. Furthermore, imposing a periodic drive on such a nonergodic model does not necessarily drive the system into an infinite temperature state, and thus may open new possibilities to explore nontrivial dynamics such as discrete time crystals [37][38][39][40].…”

Section: Conclusion and Outlook -mentioning

confidence: 99%

Nonergodic delocalized paramagnetic states in quantum neural networks

Wu¹,

Cai²

2022

Preprint

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Typically, it is assumed that a high-energy eigenstate of a generic interacting quantum manybody Hamiltonian is thermal and obeys the eigenstate thermalization hypothesis. In this work, we show that the paramagnetic phase of a quantum Hopfield neural network model is delocalized but nonergodic. The combination of permutational symmetry and frustration in this model organize its high-energy eigenstates into clusters, which can each be considered a large quantum spin and has no correlation with others. This model provides another ergodicity-breaking mechanism in quantum many-body systems.

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Section: Conclusion and Outlook -mentioning

confidence: 99%

Nonergodic delocalized paramagnetic states in quantum neural networks

Wu¹,

Cai²

2022

Preprint

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“…Next, we explore the possibility of maximizing the scarinduced oscillations in these systems by allowing higher spin terms 37 . These terms have support over (2m + 3) sites for a (2m + 1)-spin term.…”

Section: Fsa In the Modified Pxp Modelmentioning

confidence: 99%

Dynamics of the vacuum state in a periodically driven Rydberg chain

Mukherjee,

Sen,

Sen

et al. 2020

Preprint

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We study the dynamics of the periodically driven Rydberg chain starting from the state with zero Rydberg excitations (vacuum state denoted by |0 ) using a square pulse protocol in the high drive amplitude limit. We show, using exact diagonalization for finite system sizes (L ≤ 26), that the Floquet Hamiltonian of the system, within a range of drive frequencies which we chart out, hosts a set of quantum scars which have large overlap with the |0 state. These scars are distinct from their counterparts having high overlap with the maximal Rydberg excitation state (|Z2 ); they coexist with the latter class of scars and lead to persistent coherent oscillations of the density-density correlator starting from the |0 state. We also identify special drive frequencies at which the system undergoes perfect dynamic freezing and provide an analytic explanation for this phenomenon. Finally, we demonstrate that for a wide range of drive frequencies, the system reaches a steady state with sub-thermal values of the density-density correlator. The presence of such sub-thermal steady states, which are absent for dynamics starting from the |Z2 state, imply a weak violation of the eigenstate thermalization hypothesis in finite sized Rydberg chains distinct from that due to the scar-induced persistent oscillations reported earlier. We conjecture that in the thermodynamic limit such states may exist as pre-thermal steady states that show anomalously slow relaxation. We supplement our numerical results by deriving an analytic expression for the Floquet Hamiltonian using a Floquet perturbation theory in the high amplitude limit which provides an analytic, albeit qualitative, understanding of these phenomena at arbitrary drive frequencies. We discuss experiments which can test our theory.

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“…(4) can not only be applied to the quantum magnetism (Eq. (1) for instance), but also to diverse phenomena with spontaneous symmetry breaking ranging from superconductors [29][30][31][32][33] to charge-density-waves (CDW) [34]. In most realistic systems with local interactions, the spatial fluctuations render the mean-field EOM.…”

mentioning

confidence: 99%

A $\frac 13$ power-law universality class out of stochastic driving in interacting systems

Cai

2021

Preprint

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In this paper, we study the mean-field dynamics of a general class of quantum many-body systems with stochastically fluctuating interactions. Our findings reveal a universal algebraic decay of the order parameter m(t) ∼ t −χ with an exponent χ = 1 3 that is independent of most system details including the strength of the stochastic driving, the energy spectrum of the undriven systems, the initial states and even the driving protocols. The finite-size effect, as well as the relevance of our results with current experiments in high-finesse cavity QED systems are also discussed.

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Topological quantum pumping in spin-dependent superlattices with glide symmetry

Cited by 9 publications

References 51 publications

Nonergodic delocalized paramagnetic states in quantum neural networks

Nonergodic delocalized paramagnetic states in quantum neural networks

Dynamics of the vacuum state in a periodically driven Rydberg chain

A $\frac 13$ power-law universality class out of stochastic driving in interacting systems

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