Mobility edges through inverted quantum many-body scarring

Srivatsa, N. S.; Yarloo, H.; Moessner, Roderich; Nielsen, Anne E. B.

doi:10.48550/arxiv.2208.01054

Cited by 2 publications

(3 citation statements)

References 37 publications

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“…A common diagnostic of these scar states is their low entanglement entropy, which violates the usual volume law [7] (for reviews, see [8][9][10][11] and the references therein). We will only focus on this kind of scar states which possess sub-extensive entanglement entropy here, although recent work has proposed the concept of "rainbow scars" that may have extensive EE [12,13]. On the other hand, many-body scar states are forbidden in the strong version of ETH [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Eigenstate thermalization and disappearance of quantum many-body scar states in weakly interacting fermion systems

Volya

Yang

2022

Phys. Rev. B

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The recent discovery of quantum many-body scar states has revealed the possibility of having states with low entanglement that violate the eigenstate thermalization hypothesis in nonintegrable systems. Eigenstates with low entanglement entropy are rare but naturally exist in the integrable system of free fermions. Here, we demonstrate analytically that these atypical states would be always eliminated when an arbitrary weak interaction is introduced between the fermions. In particular, we show that the probability of having a many-body scar state with entanglement entropy satisfying a sub-volume scaling law decreases double exponentially as the system size. Thus, our results provide a quantitative argument for the disappearance of scar states in interacting fermion systems.

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Section: Introductionmentioning

confidence: 99%

Eigenstate thermalization and disappearance of quantum many-body scar states in weakly interacting fermion systems

Volya

Yang

2022

Phys. Rev. B

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“…More recently, there have been several attempts [26][27][28] to construct the inverse situation of QMBS, namely, highly entangled excited states with volume-law entanglement embedded in the rest of the MBL spectra. Such phenomena are dubbed inverted QMBS and they enrich the categories of nonthermal systems.…”

mentioning

confidence: 99%

“…Such phenomena are dubbed inverted QMBS and they enrich the categories of nonthermal systems. Previous studies [26][27][28] of the inverted QMBS focused on a single narrow energy window, and it is unclear whether the inverted QMBS can be realized in multiple energy windows with approximately or exactly equal energy spacing. Additionally, unlike the unified formalisms of QMBS [29][30][31][32][33][34][35][36][37][38][39], the systematic formalism to construct the inverted QMBS is still elusive.…”

mentioning

confidence: 99%

Inverting multiple quantum many-body scars via disorder

Chen¹,

Zhu²

2023

Preprint

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The recent observations of persistent revivals in the Rydberg atom chain have revealed a weak ergodicity breaking mechanism known as quantum many-body scars, which is typically a collection of states with low entanglement embedded in otherwise thermal spectra. Here, by applying a generic formalism, we propose a direct evolution from the quantum many-body scars to their inverse case and construct multiple inverted quantum many-body scars, i.e., different sets of excited states with volume-law entanglement embedded in a sea of the many-body localized spectrum. When increasing the disorder strength, a tower of exact eigenstates remain intact, acting as conventional quantum many-body scars at weak disorder, and each residing inside narrow energy windows with the emerged inverted quantum many-body scar at strong disorder. Moreover, the strong disorder also induces additional sets of inverted quantum many-body scars with their energies concentrating in the middle of the exact eigenstates. As a result, all the multiple inverted quantum many-body scars are approximately equidistant in energy. We further examine the stability of the conventional and the inverted quantum many-body scars against the external random field. Our findings expand the variety of nonthermal systems and connect the weak ergodicity breaking with the weak violation of many-body localization.

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Mobility edges through inverted quantum many-body scarring

Cited by 2 publications

References 37 publications

Eigenstate thermalization and disappearance of quantum many-body scar states in weakly interacting fermion systems

Eigenstate thermalization and disappearance of quantum many-body scar states in weakly interacting fermion systems

Inverting multiple quantum many-body scars via disorder

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