Transport in Stark Many Body Localized Systems

Zisling, Guy; Kennes, Dante M.; Lev, Yevgeny Bar

doi:10.48550/arxiv.2109.06196

Cited by 2 publications

(3 citation statements)

References 67 publications

(111 reference statements)

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“…Thereafter, we numerically constructed dynamical l-bits of the full Hamiltonian with excellent accuracy. A similar effective Hamiltonian was obtained in a very recent work (up to a rotating wave basis transform) in [60] where transport was studied (cf. also [28]).…”

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confidence: 68%

“…Acknowledgements -We thank Z. Papić and F. Pollmann for useful discussions, A. Lazarides for pointing out a recent preprint [60] and P. Sala for numerous enlightening suggestions and useful discussion. Funding from EPSRC programme grant EP/P009565/1, EPSRC National Quantum Technology Hub in Networked Quantum Information Technology (EP/M013243/1) is gratefully acknowledged.…”

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confidence: 99%

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Dynamical l-bits and persistent oscillations in Stark many-body localization

Gunawardana

Buča

2022

Phys. Rev. B

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Stark many-body localized (SMBL) systems have been shown both numerically and experimentally to have Bloch many-body oscillations, quantum many-body scars, and fragmentation in the large field tilt limit, but these observations have not been fundamentally understood. We explain and analytically prove all these observations by rigorously perturbatively showing the existence of novel algebraic structures that are exponentially stable in time, which we call dynamical l-bits. In particular, we show that many-body Bloch oscillations persist even at infinite temperature for exponentially long-times using a new type of dynamical algebra and provide a bound on the tilt strength for this non-ergodic transition. We numerically confirm our results by studying the prototypical Stark MBL model of a tilted XXZ spin chain. Our work explains why thermalization was observed in a recent 2D tilted experiment. As dynamical l-bits represent stable, localized, and quantum coherent excitations, our work opens new possibilities for quantum information processing in Stark MBL systems even at high temperature.

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confidence: 68%

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confidence: 99%

Dynamical l-bits and persistent oscillations in Stark many-body localization

Gunawardana

Buča

2022

Phys. Rev. B

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“…However, as we have previously shown [16], within the purported delocalized region some states are, in fact, anomalously long-lived (see also Refs. [17,18]).…”

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confidence: 99%

Many-body localization in a tilted potential in two dimensions

Doggen,

Gornyi,

Polyakov

2022

Preprint

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Thermalization in many-body systems can be inhibited by the application of a linearly increasing potential, which is known as Stark many-body localization. Here we investigate the fate of this phenomenon on a two-dimensional disorder-free lattice. Similar to the one-dimensional case, "density-polarized" regions can act as bottlenecks for transport and prevent thermalization on laboratory timescales. However, compared to the one-dimensional case, a substantially stronger potential gradient is needed to prevent thermalization. The origin of this difference and implications for experiments are discussed. We argue that delocalization is generally favored for typical states in two-dimensional Stark many-body systems, although nonergodicity can still be observed for a specific choice of initial states, such as those probed in experiments.

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Transport in Stark Many Body Localized Systems

Cited by 2 publications

References 67 publications

Dynamical l-bits and persistent oscillations in Stark many-body localization

Dynamical l-bits and persistent oscillations in Stark many-body localization

Many-body localization in a tilted potential in two dimensions

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