Stark many-body localization: Evidence for Hilbert-space shattering
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In this paper, the authors analyzed a disorder-free Heisenberg spin chain under the influence of a constant field gradient (Stark many-body localization), and they found that nonergodicity results even for a vanishingly small gradient.Abstract:
The ergodic hypothesis lies at the heart of classical statistical physics. A crucial question, therefore, is how this idea translates into the quantum world. Many-body localization -- the analog of Anderson localization to the many-body case -- has emerged as a key example of nonergodicity. Here, the authors analyze a disorder-free Heisenberg spin chain under the influence of a constant field gradient (Stark many-body localization). Surprisingly, they find that nonergodicity results, even for a vanishingly small gradient.read more
Citations
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Quantum many-body scars and Hilbert space fragmentation: a review of exact results
TL;DR: In this paper , the authors 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.
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Observation of Stark many-body localization without disorder.
W. Morong,Fangli Liu,P. Becker,K. S. Collins,Lei Feng,A. Kyprianidis,Guido Pagano,T. You,Alexey V. Gorshkov,Christopher Monroe +9 more
TL;DR: In this paper, the properties of the Stark MBL in a trapped-ion quantum simulator were investigated. And the authors showed that the Stark many-body localization (MBL) can result in preservation of a non-thermal state.
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Challenges to observation of many-body localization
TL;DR: In this paper , with the help of extensive numerical simulations, the authors find slow decay of the imbalance, a quantity often employed in experimental studies of MBL, even though the disorder strength considerably exceeds the current estimates of the position of the MBL transition.
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Nonergodic dynamics in disorder-free potentials
TL;DR: In this paper, the dynamics of interacting particles in disorder-free potentials concentrating on a combination of a harmonic binding with a constant tilt are discussed. But the authors do not discuss the domain wall dynamics that reveal nonergodic features even for a relatively weak tilt.
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Many-body localization in the interpolating Aubry-André-Fibonacci model
Antonio Štrkalj,Antonio Štrkalj,Elmer V. H. Doggen,Igor V. Gornyi,Igor V. Gornyi,Oded Zilberberg +5 more
TL;DR: In this paper, the authors investigate the localization properties of a spin chain with an antiferromagnetic nearest-neighbor coupling, subject to an external quasiperiodic on-site magnetic field.
References
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Journal ArticleDOI
Absence of Diffusion in Certain Random Lattices
TL;DR: In this article, a simple model for spin diffusion or conduction in the "impurity band" is presented, which involves transport in a lattice which is in some sense random, and in them diffusion is expected to take place via quantum jumps between localized sites.
Journal ArticleDOI
The density-matrix renormalization group in the age of matrix product states
TL;DR: This paper gives a detailed exposition of current DMRG thinking in the MPS language in order to make the advisable implementation of the family of D MRG algorithms in exclusively MPS terms transparent.
Journal ArticleDOI
The density-matrix renormalization group in the age of matrix product states
TL;DR: The density matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional strongly correlated quantum lattice systems as mentioned in this paper.
Journal ArticleDOI
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Rahul Nandkishore,David A. Huse +1 more
TL;DR: In this paper, the authors provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate statistical mechanics.
Journal ArticleDOI
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
TL;DR: In this paper, it was shown that in the absence of coupling of the electrons to any external bath dc electrical conductivity exactly vanishes as long as the temperature T does not exceed some finite value Tc.