Many-body localization in the age of classical computing
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …
many-body systems using only a few macroscopic parameters to determine the state of the …
[HTML][HTML] Many-body localization: An introduction and selected topics
What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …
Avalanches and many-body resonances in many-body localized systems
We numerically study both the avalanche instability and many-body resonances in strongly
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …
Challenges to observation of many-body localization
We study time dynamics of 1D disordered Heisenberg spin-1/2 chains focusing on a regime
of large system sizes and a long-time evolution. This regime is relevant for observation of …
of large system sizes and a long-time evolution. This regime is relevant for observation of …
Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
We study the scrambling of local quantum information in chaotic many-body systems in the
presence of a locally conserved quantity like charge or energy that moves diffusively. The …
presence of a locally conserved quantity like charge or energy that moves diffusively. The …
Quantum chaos challenges many-body localization
Characterizing states of matter through the lens of their ergodic properties is a fascinating
new direction of research. In the quantum realm, the many-body localization (MBL) was …
new direction of research. In the quantum realm, the many-body localization (MBL) was …
Distinguishing localization from chaos: Challenges in finite-size systems
We re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …
Entanglement of exact excited states of Affleck-Kennedy-Lieb-Tasaki models: Exact results, many-body scars, and violation of the strong eigenstate thermalization …
We obtain multiple exact results on the entanglement of the exact excited states of
nonintegrable models we introduced in Phys. Rev. B 98, 235155 (2018) 10.1103/PhysRevB …
nonintegrable models we introduced in Phys. Rev. B 98, 235155 (2018) 10.1103/PhysRevB …
Localization from Hilbert space shattering: From theory to physical realizations
We show how a finite number of conservation laws can globally “shatter” Hilbert space into
exponentially many dynamically disconnected subsectors, leading to an unexpected …
exponentially many dynamically disconnected subsectors, leading to an unexpected …
Measurement-induced phase transition: A case study in the nonintegrable model by density-matrix renormalization group calculations
Q Tang, W Zhu - Physical Review Research, 2020 - APS
We study the effect of local projective measurements on the quantum quench dynamics. As
a concrete example, a one-dimensional Bose-Hubbard model is simulated by the matrix …
a concrete example, a one-dimensional Bose-Hubbard model is simulated by the matrix …