Quantum many-body scars and quantum criticality

Yao, Zhiyuan; Pan, Lei; Zhai, Hui

doi:10.1103/physrevb.105.125123

Cited by 34 publications

(21 citation statements)

References 44 publications

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“…Note that our result in large J and h limit is consistent with Ref. 39 , where the thermalization at the critical point was pointed out based on the PXP model with an additional magnetic field. Here we have shown that the such thermalization behavior can actually extend to the whole Ising transition line in (h, J) parameter plane.…”

Section: B Thermalization Facilitated By Quantum Phase Transitionsupporting

confidence: 93%

Bridging quantum many-body scar and quantum integrability in Ising chains with transverse and longitudinal fields

Peng,

Cui

2022

Preprint

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Quantum many-body scar (QMBS) and quantum integrability(QI) have been recognized as two distinct mechanisms for the breakdown of eigenstate thermalization hypothesis(ETH) in an isolated system. In this work, we reveal a smooth route to connect these two ETH-breaking mechanisms in the Ising chain with transverse and longitudinal fields. Specifically, starting from an initial Ising anti-ferromagnetic state, we find that the dynamical system undergoes a smooth non-thermal crossover from QMBS to QI as changing the Ising coupling(J) and longitudinal field(h) simultaneously while keeping their ratio fixed, which corresponds to the Rydberg Hamiltonian with an arbitrary nearest-neighbor repulsion. Deviating from this ratio, we further identify a continuous thermalization trajectory in (h, J) plane that is exactly given by the Ising transition line, signifying an intimate relation between thermalization and quantum critical point. Finally, we map out a completely different dynamical phase diagram starting from an initial ferromagnetic state, where the thermalization is shown to be equally facilitated by the resonant spin-flip at special ratios of J and h. By bridging QMBS and QI in Ising chains, our results demonstrate the breakdown of ETH in much broader physical settings, which also suggest an alternative way to characterize quantum phase transition via thermalization in non-equilibrium dynamics.

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Section: B Thermalization Facilitated By Quantum Phase Transitionsupporting

confidence: 93%

Bridging quantum many-body scar and quantum integrability in Ising chains with transverse and longitudinal fields

Peng,

Cui

2022

Preprint

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“…These experimental setups consist of 51-200 Rydberg atoms, far from the thermodynamic limit, which motivates the study of the stability of QMBS at finite system-sizes. The QMBS in the PXP model have been studied using a wide variety of techniques that yield several insights into the origin of the approximate QMBS [13,10,128,130,131], and several phenomenological results are known about the PXP models, and their deformations [11,12,129,209]. Nevertheless, a major open question in this field is to precisely connect these results on the approximate QMBS in the PXP to exact QMBS in various other systems.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Quantum many-body scars and Hilbert space fragmentation: a review of exact results

2022

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The discovery of Quantum Many-Body Scars (QMBS) both in Rydberg atom simulators and in the Aﬄeck-Kennedy-Lieb-Tasaki (AKLT) spin-1 chain model, have shown that a weak violation of ergodicity can still lead to rich experimental and theoretical physics. In this review, we provide a pedagogical introduction to and an overview of the exact results on weak ergodicity breaking via QMBS in isolated quantum systems with the help of simple examples such as the fermionic Hubbard model. We also discuss various mechanisms and unifying formalisms that have been proposed to encompass the plethora of systems exhibiting QMBS. We cover examples of equally-spaced towers that lead to exact revivals for particular initial states, as well as isolated examples of QMBS. Finally, we review Hilbert Space Fragmentation, a related phenomenon where systems exhibit a richer variety of ergodic and non-ergodic behaviors, and discuss its connections to QMBS.

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“…Because of the physics of the Rydberg blockade, this system is described by the so-called PXP Hamiltonian [36]. This Rydberg atom quantum simulator can simulate quantum many-body dynamics with high fidelity and explore exotic ground state quantum phases [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55]. Here we will also discuss the connection between the U (1) LGT and the PXP Hamiltonian [21] and discuss the manifestation of the conf-deconf transition in the PXP model.…”

Section: Introductionmentioning

confidence: 99%

Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator

Cheng¹,

Liu²,

Wang³

et al. 2022

Preprint

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The one-dimensional lattice Schwinger model has recently been realized by using bosons in optical lattices. This model contains both confinement and deconfinement phases, whose phase diagram is controlled by the mass of the matter field and the topological angle. Since varying the mass of matter field is straightforward experimentally, we propose how to tune the topological angle, allowing accessing the entire phase diagram. We propose that direct experimental evidence of confinement and deconfinement can be obtained by measuring whether a physical charge is localized around a fixed gauge charge to screen it. We also discuss the PXP model realized in the Rydberg atoms array, which is equivalent to the lattice Schwinger model when all local gauge charges are fixed as zero. Although the gauge charges are fixed, we can alternatively probe the confinement and the deconfinement in the PXP model by studying the relative motion of a pair of a physical charge and an anti-charge. Our scheme can be directly implemented in these two relevant experimental platforms of ultracold atom quantum simulators.

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Quantum many-body scars and quantum criticality

Cited by 34 publications

References 44 publications

Bridging quantum many-body scar and quantum integrability in Ising chains with transverse and longitudinal fields

Bridging quantum many-body scar and quantum integrability in Ising chains with transverse and longitudinal fields

Quantum many-body scars and Hilbert space fragmentation: a review of exact results

Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator

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