Transport in Stark many-body localized systems

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

doi:10.1103/physrevb.105.l140201

Cited by 22 publications

(10 citation statements)

References 71 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…( 4 ) and taking an infinite-time average, . This is done to avoid the quasi-conservation of the MSD in Stark-MBL systems 53 , 54 . While it implies the absence of diffusion, it does not exclude subdiffusive transport 51 , 54 .…”

Section: Resultsmentioning

confidence: 99%

Absence of localization in interacting spin chains with a discrete symmetry

et al. 2023

Self Cite

View full text Add to dashboard Cite

Novel paradigms of strong ergodicity breaking have recently attracted significant attention in condensed matter physics. Understanding the exact conditions required for their emergence or breakdown not only sheds more light on thermalization and its absence in closed quantum many-body systems, but it also has potential benefits for applications in quantum information technology. A case of particular interest is many-body localization whose conditions are not yet fully settled. Here, we prove that spin chains 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. We demonstrate this numerically using two prominent examples: the Stark many-body localization system (Stark-MBL) and the symmetrized many-body localization system (symmetrized–MBL). We provide evidence of delocalization at all energy densities and show that delocalization persists when the symmetry is broken. We use our results to construct two localized systems which, when coupled, delocalize each other. Our work demonstrates the dramatic effect symmetries can have on disordered systems, proves that the existence of exact resonances is not a sufficient condition for delocalization, and opens the door to generalization to higher spatial dimensions and different conservation laws.

show abstract

Section: Resultsmentioning

confidence: 99%

Absence of localization in interacting spin chains with a discrete symmetry

et al. 2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…The effects of interaction in the context of many-body localization has been recently introduced 46 and explored. [47][48][49][50][51][52][53] Quench dynamic in this model has been studied analytically for XX chain 54,55 and XXZ model, 56 but did not consider the model within the DQPT context, which is the aim of this work. What we are interested in is exploring DQPTs by quenching the model within different parameters space.…”

Section: Introductionmentioning

confidence: 99%

Dynamical quantum phase transitions in Stark quantum spin chains

Faridfar¹,

Fouladi²,

Vahedi³

2022

Preprint

View full text Add to dashboard Cite

We investigate the nonequilibrium dynamics of one-dimension spin models in the presence of a uniform force. The linear potential induces delocalization-localization transition in the free particles model which is known as the Wannier-Stark effect. We study dynamical quantum phase transition (DQPT) due to sudden global quenches across a quantum critical point when the system undergoes a localization-delocalization transition. In this regard, we consider the XX and XXZ spin chains and explore two types of quenches with and without ramping through the delocalization-localization point. The XX model was mapped to the free fermion particles, so both analytical and numerical results were provided. Results unveil that the dynamical signature of localization-delocalization transition can be characterized by the nonanalyticities in dynamical free energy (corresponds to the zero points in the Loschmit echo). We also explore the interaction effects considering XXZ spin chains, using the time-dependent extension of the numerical DMRG technique. Our results show that depending on the anisotropic parameter ∆ ≶ 1.0, if both the initial and post-quench Hamiltonian are in the same phase or not, DQPTs may happen. Moreover, the interrelation between DQPTs with different correlation measures such as the equilibrium order parameters or entanglement entropy production of the system remains unclear. We provide more analyses on the feature of DQPTs, in both types of quenches, by connecting them to the average local magnetization, entanglement entropy production, and the Schmidt gap.

show abstract

“…Focusing on the one-dimensional dynamical behavior of SMBL we have to mention the non-decaying character of the imbalance function [22,23,28], the appearance of logarithmic-in-time growth of entanglement entropy, quantum Fisher information (QFI) and quantum mutual information [22,25,[28][29][30][31][32], non-ergodic behavior of the squared width of the excitation [33] and average participation ratio which is directly related to the return probability [23]. For two-dimensional systems, * Electronic address: adam.sajna@pwr.edu.pl much less is known about a possible SMBL behavior.…”

Section: Introductionmentioning

confidence: 99%

Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials

Kaczmarek¹,

Sajna²

2022

Preprint

View full text Add to dashboard Cite

The quench dynamics of the Hubbard model in tilted and harmonic potentials is discussed within the semiclassical picture. Applying the fermionic truncated Wigner approximation (fTWA), the dynamics of imbalances for charge and spin degrees of freedom is analyzed and its time evolution is compared with the exact simulations in one-dimensional lattice. Quench from charge or spin density wave is considered. We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. Such an improvement of fTWA is also obtained for the higher order correlations in terms of quantum Fisher information for charge and spin channels. This allows us to discuss the dynamics of larger system sizes and connect our discussion to the recently introduced Stark many-body localization. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics, similar to that of disordered systems. Moreover, for specific values of harmonic potential, we observed phase separation of ergodic and nonergodic regions in real space. The latter fact is especially important for ultracold atom experiments in which harmonic confinement can be easily imposed, causing a significant change in relaxation times for different lattice locations.

show abstract

Transport in Stark many-body localized systems

Cited by 22 publications

References 71 publications

Absence of localization in interacting spin chains with a discrete symmetry

Absence of localization in interacting spin chains with a discrete symmetry

Dynamical quantum phase transitions in Stark quantum spin chains

Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials

Contact Info

Product

Resources

About