Disorder-induced spin-charge separation in the one-dimensional Hubbard model

Thomson, S. J.

doi:10.1103/physrevb.107.l180201

Cited by 4 publications

(1 citation statement)

References 87 publications

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“…They concluded the possibility of nonergodic phases different from the many-body localized one but found them to be unstable for increasing chain lengths. Related investigations on one dimensional Hubbard chains [39] also support the role of nonabelian symmetries in destabilizing the MBL phase [40][41][42]. Most recently, the effect of nonabelian symmetries on eigenstate thermalization [43] and entanglement entropies [44] has been discussed.…”

Section: Introductionmentioning

confidence: 80%

Imperfect many-body localization in exchange-disordered isotropic spin chains

Siegl,

Schliemann

2023

New J. Phys.

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We investigate many-body localization in isotropic Heisenberg spin chains with the local exchange parameters being subject to quenched disorder. Such systems incorporate a nonabelian symmetry in their Hamiltonian by invariance under global SU(2)-rotations. Nonabelian symmetries are predicted to hinder the emergence of a many-body localized phase even in the presence of strong disorder. We report on numerical studies using exact diagonalization for chains of common spin length 1 / 2 and 1. The averaged consecutive-gap ratios display a transition compatible with a crossover from an ergodic phase at small disorder strength to an incompletely localized phase at stronger disorder. Studying the sample-to-sample variance of the averaged consecutive-gap ratio, we distinguish this incompletely localized phase from the fully many-body localized phase by its scaling behavior.

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Section: Introductionmentioning

confidence: 80%

Imperfect many-body localization in exchange-disordered isotropic spin chains

Siegl,

Schliemann

2023

New J. Phys.

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Unravelling quantum dynamics using flow equations

Thomson,

Eisert

2024

Nat. Phys.

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The study of many-body quantum dynamics in strongly correlated systems is extremely challenging. To date, few numerical methods exist that are capable of simulating the non-equilibrium dynamics of two-dimensional quantum systems, which is partly due to complexity theoretic obstructions. In this work, we present a technique able to overcome this obstacle, by combining continuous unitary flow techniques with the newly developed method of scrambling transforms. We overcome the assumption that approximately diagonalizing the Hamiltonian cannot lead to reliable predictions for relatively long times. Rather, we show that the method achieves good accuracy in both localized and delocalized phases and makes reliable predictions for a number of quantities including infinite-temperature autocorrelation functions. We complement our findings with rigorous incremental bounds on the truncation error. Our approach shows that, in practice, the exploration of intermediate-scale time evolution may be more feasible than is commonly assumed, challenging near-term quantum simulators.

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Measuring out quasi-local integrals of motion from entanglement

Lu,

Bertoni,

Thomson

et al. 2024

Commun Phys

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Quasi-local integrals of motion are a key concept underpinning the modern understanding of many-body localisation, a phenomenon in which interactions and disorder come together. Despite the existence of several numerical ways to compute them—and in the light of the observation that much of the phenomenology of many properties can be derived from them—it is not obvious how to directly measure aspects of them in real quantum simulations; in fact, hard experimental evidence is still missing. In this work, we propose a way to extract the real-space properties of such quasi-local integrals of motion based on a spatially-resolved entanglement probe able to distinguish Anderson from many-body localisation from non-equilibrium dynamics. We complement these findings with a rigorous entanglement bound and compute the relevant quantities using tensor networks. We demonstrate that the entanglement gives rise to a well-defined length scale that can be measured in experiments.

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Disorder-induced spin-charge separation in the one-dimensional Hubbard model

Cited by 4 publications

References 87 publications

Imperfect many-body localization in exchange-disordered isotropic spin chains

Imperfect many-body localization in exchange-disordered isotropic spin chains

Unravelling quantum dynamics using flow equations

Measuring out quasi-local integrals of motion from entanglement

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