Robustness of Stark many-body localization in the 
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 Heisenberg model

Vernek, E.

doi:10.1103/physrevb.105.075124

Cited by 5 publications

(7 citation statements)

References 54 publications

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“…Spin-1/2 system: effect of magnetic field For the sake of completeness, we reproduce and elaborate on the main results obtained by one of us in Ref. [61] for spin-1/2 SMBL. We validate that the fundamental characteristics are qualitatively well captured at a scale involving 12 and 20 spins.…”

Section: Numerical Resultsmentioning

confidence: 80%

“…This particular type of states correspond to a state with a single domains wall, but states with multiple domain walls will also be considered. This type of initial state has already been analyzed in other studies where it was possible to unveil several interesting characteristics of Stark many-body localization phenomena [53,61]. Here we will explore mainly the case of S > 1/2 by considering the effects of the single-ion anisotropy D and magnetic fields gradients h 0 in order to gain a better understanding of both local and global effects over the collective behavior of the spin dynamics.…”

Section: Model and Methodsmentioning

confidence: 99%

“…For convenience, following Burssil et al [79] and our previous work [61], we parameterize the exchange couplings J 1 and J 2 as (J 1 , J 2 ) = (J 0 cos θ, J 0 sin θ), with 0 ≤ θ < 2π. The ground state properties for h 0 = γ = 0 in Eq.…”

Section: Model and Methodsmentioning

confidence: 99%

“…In a recent study, one of us have extended the results of Ref. [53] by including exchange interaction up to second nearest neighbors [61]. It was showed that the SMBL phenomenon is robust for arbitrary ration J 2 /J 1 , a feature also found in spinless fermions with long-range interactions [62].…”

Section: Introductionmentioning

confidence: 99%

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Breakdown of thermalization in spin chains with single-ion anisotropy

de Souza,

Costa,

Vernek

et al. 2024

Preprint

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The principles of ergodicity and thermalization constitute the foundation of statistical mechanics, positing that a many-body system progressively loses its local information as it evolves. Nevertheless, these principles can be disrupted when thermalization dynamics lead to the conservation of local information, as observed in the phenomenon known as many-body localization. Quantum spin chains provide a fundamental platform for exploring the dynamics of closed interacting quantum many-body systems. This study explores the dynamics of a spin chain with $S\geq 1/2$ within the $J_1-J_2$, incorporating a non-uniform magnetic field and single-ion anisotropy. Through the use of exact numerical diagonalization, we unveil that a nearly constant-gradient magnetic field suppress thermalization, a phenomenon termed Stark many-body localization (SMBL), previously observed in $S=1/2$ chains. Furthermore, our findings reveal that the sole presence of single-ion anisotropy is sufficient to prevent thermalization in the system. Interestingly, when the magnitudes of the magnetic field and anisotropy are comparable, they compete, favoring delocalization. Despite the potential hindrance of SMBL by single-ion anisotropy in this scenario, it introduces an alternative mechanism for localization. Our interpretation, considering local energetic constraints and resonances between degenerate eigenstates, not only provides insights into SMBL but also opens avenues for future experimental investigations into the enriched phenomenology of disordered free localized $S\geq 1/2$ systems.

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Section: Numerical Resultsmentioning

confidence: 80%

Section: Model and Methodsmentioning

confidence: 99%

Section: Model and Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Breakdown of thermalization in spin chains with single-ion anisotropy

de Souza,

Costa,

Vernek

et al. 2024

Preprint

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“…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

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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.

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