Dynamical l-bits and persistent oscillations in Stark many-body localization

Gunawardana, Thivan M.; Buča, Berislav

doi:10.1103/physrevb.106.l161111

Cited by 18 publications

(3 citation statements)

References 128 publications

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“…Topology likely plays a role in our model as it is intimately related to the Kitaev chain. These new kinds of dynamical symmetries should be distinguished from both local extensive 78,[110][111][112] and strictly local ones [113][114][115] . We emphasize, that in the model studied here there is no obvious transformation that would allow mapping this semi-local dynamical symmetry into a semi-local non-Abelian symmetry while preserving the spatial locality of H.…”

Section: Resultsmentioning

confidence: 99%

Exact multistability and dissipative time crystals in interacting fermionic lattices

Alaeian

Buča

2022

Commun Phys

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The existence of multistability in quantum systems beyond the mean-field approximation remains an intensely debated open question. Quantum fluctuations are finite-size corrections to the mean-field as the full exact solution is unobtainable and they usually destroy the multistability present on the mean-field level. Here, by identifying and using exact modulated dynamical symmetries in a driven-dissipative fermionic chain we exactly prove multistability in the presence of quantum fluctuations. Further, unlike common cases in our model, rather than destroying multistability, the quantum fluctuations themselves exhibit multistability, which is absent on the mean-field level for our systems. Moreover, the studied model acquires additional thermodynamic dynamical symmetries that imply persistent periodic oscillations, constituting the first case of a boundary time crystal,to the best of our knowledge, a genuine extended many-body quantum system with the previous cases being only in emergent single- or few-body models. The model can be made into a dissipative time crystal in the limit of large dissipation (i.e. the persistent oscillations are stabilized by the dissipation) making it both a boundary and dissipative time crystal.

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Section: Resultsmentioning

confidence: 99%

Exact multistability and dissipative time crystals in interacting fermionic lattices

Alaeian

Buča

2022

Commun Phys

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“…It is important to highlight that our results do not rule out the possibility, for example, of the gradual disappearance of localized regions in the Hilbert space in large systems or in the long-time limit. Addressing these questions demands further exploration, both experimentally using probes commonly employed in conventional MBL studies and theoretically through investigations that could, for instance, extend the theory of dynamical l-bits [88] to spin lattices with S ≥ 1. Finally, it is worth noting that the models examined in this study can be experimentally realized using current quantum simulators, including cold atoms, trapped ions, and superconducting qubits.…”

Section: Discussionmentioning

confidence: 99%

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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“…Among them, the AFM configuration needs to comprehensively consider three different spin configurations, including zigzag order (AFM1), stripe order (AFM2) and Néel order (AFM3). The energy difference between FM and the most stable AFM states, E ex = E AFM − E FM [51], can be estimated to obtain better magnetic coupling order. The calculated E ex shows that the V-SMoS/SeMoS system is in the AFM3 ground state, while the Cr/Mn-SMoS/SeMoS system is in the FM ground state.…”

Section: Magnetic Propertiesmentioning

confidence: 99%

Spin-induced valley polarization in heterobilayer Janus transition-metal dichalcogenides

Liu

Huang

Luo

et al. 2023

J. Phys. D: Appl. Phys.

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Inspired by potential application prospects of the spintronics and valleytronics, a novel heterobilayer Janus structure is designed by replacing the chalcogenide atomic layers in original bilayer MoS2. Based on first-principles calculation, it is found that SMoS/SeMoS structure exhibits a direct band-gap semiconductor and a typical type-II band alignment with longer carrier lifetime. The transition metal (TM) atom represented by V/Cr/Mn can be stably adsorbed on the heterobilayer Janus SMoS/SeMoS sheet and effectively introduce magnetic moments (m). The calculation results demonstrate that the most stable adsorption site of TM atom is CX(A), and the TM (V/Cr/Mn) adatom modified SMoS/SeMoS system is converted into metal (V-) or half-metal (Cr/Mn-), respectively. Under the coupling of different indirect exchange interactions, the structure exhibits stable intrinsic anti-ferromagnetic (AFM) for V-SMoS/SeMoS and ferromagnetic (FM) ground state for Cr/Mn-SMoS/SeMoS, respectively, and the magnetic transition temperature (Tc) reaches high temperature or even room temperature. Moreover, the robust out-of-plane magnetocrystalline anisotropy energy (MAE) ensures stable long-range magnetic order. Specifically, the combination of spin injection and strong spin-orbit coupling (SOC) interaction effectively breaks the time-reversal symmetry, leading to valley polarization of the system. Based on this, the biaxial strain can effectively regulate the electronic structure, magnetic properties and valley polarization of TM-SMoS/SeMoS nanosheets with double broken of spatial-inversion and time-reversal symmetry.

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Dynamical l-bits and persistent oscillations in Stark many-body localization

Cited by 18 publications

References 128 publications

Exact multistability and dissipative time crystals in interacting fermionic lattices

Exact multistability and dissipative time crystals in interacting fermionic lattices

Breakdown of thermalization in spin chains with single-ion anisotropy

Spin-induced valley polarization in heterobilayer Janus transition-metal dichalcogenides

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