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Transport in Stark Many Body Localized Systems
TLDR
In this paper, it was shown that starting from a generic initial state, a spin-excitation remains localized only up to a finite delocalization time, which depends exponentially on the size of the system and the strength of the electric field.Abstract:
Using numerically exact methods we study transport in an interacting spin chain which for sufficiently strong spatially constant electric field is expected to experience Stark many-body localization. We show that starting from a generic initial state, a spin-excitation remains localized only up to a finite delocalization time, which depends exponentially on the size of the system and the strength of the electric field. This suggests that bona fide Stark many-body localization occurs only in the thermodynamic limit. We also demonstrate that the transient localization in a finite system and for electric fields stronger than the interaction strength can be well approximated by a Magnus expansion up-to times which grow with the electric field strength.read more
Citations
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Dynamical l-bits and persistent oscillations in Stark many-body localization
Thivan Gunawardana,Berislav Buča +1 more
TL;DR: In this paper , an algebraic structure of Stark MBL Hamiltonians called dynamical l-bits is proposed, which are exponentially stable in the field gradient strength and have potential implications for quantum information processing.
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Many-body localization in a tilted potential in two dimensions
TL;DR: In this paper , the authors investigated the fate of this phenomenon on a two-dimensional disorder-free lattice with up to $24 \times 6$ sites and argued that delocalization is generally favored for typical states in 2D Stark many-body systems, although nonergodicity can still be observed for a specific choice of initial states.
Journal ArticleDOI
Absence of localization in interacting spin chains with a discrete symmetry
TL;DR: In this paper , it was shown that spin chains are symmetric under a combination of mirror and spin-flip symmetries and with a non-degenerate spectrum show finite spin transport at zero total magnetization and infinite temperature.
Posted Content
Formation of spontaneous density-wave patterns in DC driven lattices
Henrik P. Zahn,Vijay Pal Singh,Marcel N. Kosch,Luca Asteria,Lukas Freystatzky,Klaus Sengstock,Ludwig Mathey,Christof Weitenberg +7 more
TL;DR: In this article, the authors studied the out-of-equilibrium dynamics of a bosonic lattice model subjected to a strong DC field, realized as ultracold atoms in a strongly tilted triangular optical lattice.
References
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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.
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TL;DR: In this article, the exponential of a matrix could be computed in many ways, including approximation theory, differential equations, the matrix eigenvalues, and the matrix characteristic polynomial.
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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.