Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations

• URL: http://arxiv.org/abs/2208.10714v2
• Date: Thu, 30 Mar 2023 06:45:50 GMT
• Title: Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations
• Authors: Nilanjan Roy, Jagannath Sutradhar, and Sumilan Banerjee
• Abstract summary: We provide real-space and Fock-space characterizations of ergodic, nonergodic extended (NEE) and many-body localized (MBL) phases in a quasiperiodic system. We show that a mobility edge in the single-particle excitations survives even in the presence of interaction in the NEE phase. We give complementary insights into the distinction of the NEE states from the ergodic and MBL states by computing local FS self-energies and decay length associated, respectively, with the local and the non-local FS propagators.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic system, namely generalized Aubry-Andr\'e-Harper model, which possesses a mobility edge in the non-interacting limit. We show that a mobility edge in the single-particle (SP) excitations survives even in the presence of interaction in the NEE phase. In contrast, all SP excitations get localized in the MBL phase due to the MBL proximity effect. We give complementary insights into the distinction of the NEE states from the ergodic and MBL states by computing local FS self-energies and decay length associated, respectively, with the local and the non-local FS propagators. Based on a finite-size scaling analysis of the typical local self-energy across the NEE to ergodic transition, we show that MBL and NEE states exhibit qualitatively similar multifractal character. However, we find that the NEE and MBL states can be distinguished in terms of the decay of the non-local propagator in the FS, whereas the typical local FS self-energy cannot tell them apart.

Related papers

• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding and Majorana-Schrödinger Cat States [39.58317527488534]
  We investigate the impact of introducing a local cavity within the center of a topological chain. This cavity induces a scissor-like effect that bisects the chain, liberating Majorana zero modes (MZMs) within the bulk. By leveraging the symmetry properties of fermion modes within a two-site cavity, we propose a novel method for generating MZM-polariton Schr"odinger cat states.
  arXiv  Detail & Related papers  (2024-09-06T18:00:00Z)
• Unsupervised machine learning for detecting mutual independence among eigenstate regimes in interacting quasiperiodic chains [3.4349859266636824]
  Many-body eigenstates that are neither thermal nor many-body-localized (MBL) were numerically found in certain interacting chains with moderate quasiperiodic potentials. We numerically examine the mutual independence among the NEE, MBL, and thermal regimes in the lens of eigenstate entanglement spectra (ES) We find that while the MBL and thermal regimes are mutually independent, the NEE regime is dependent on the former two and smoothly appears as the potential strength decreases.
  arXiv  Detail & Related papers  (2024-07-08T18:00:00Z)
• Dipole-dipole interactions mediated by a photonic flat band [44.99833362998488]
  We study the photon-dipole interactions between emitters dispersively coupled to the photonic analogue of a flat band (FB) We show that the strength of such photon-mediated interactions decays exponentially with distance with a characteristic localization length. We find that the localization length grows with the overlap between CLSs according to an analytically-derived universal scaling law valid for a large class of FBs both in 1D and 2D.
  arXiv  Detail & Related papers  (2024-05-30T18:00:05Z)
• Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices [38.73477976025251]
  Quantum transport and localization are fundamental concepts in condensed matter physics. Here, we experimentally implement disorder-free mosaic photonic lattices using a silicon photonics platform. Our studies provide the experimental proof of coexisting sets of strongly localized and conducting (though weakly localized) states in finite-sized mosaic Wannier-Stark lattices.
  arXiv  Detail & Related papers  (2023-06-19T10:30:02Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Renormalization view on resonance proliferation between many-body localized phases [0.0]
  Topology and many-body localization (MBL) have opened new avenues for preserving quantum information at finite energy density. We study the statistical properties of many-body resonances in a disordered interacting Ising model.
  arXiv  Detail & Related papers  (2023-01-20T18:59:54Z)
• Localization in the random XXZ quantum spin chain [55.2480439325792]
  We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial region of the parameter space.
  arXiv  Detail & Related papers  (2022-10-26T17:25:13Z)
• Fock-space anatomy of eigenstates across the many-body localisation transition [0.0]
  We explore the Fock-space structure of eigenstates across the many-body localisation (MBL) transition in a disordered, interacting quantum spin-1/2 chain. Eigenstate expectation values of spatially local observables can be represented in terms of eigenstate amplitudes on the Fock space. We show how correlation functions on the Fock space reveal the inhomogeneities in eigenstate amplitudes on the Fock space in the MBL phase.
  arXiv  Detail & Related papers  (2021-06-16T18:00:02Z)
• Rare thermal bubbles at the many-body localization transition from the Fock space point of view [0.0]
  We study the many-body localization (MBL) transition and relate it to the eigenstate structure in the Fock space. We introduce the radial probability distribution of eigenstate coefficients with respect to the Hamming distance in the Fock space. We show that the MBL transition can been seen as a transition between ergodic states to non-ergodic extended states.
  arXiv  Detail & Related papers  (2020-11-05T19:00:01Z)
• Stability of mobility edges in disordered interacting systems [0.0]
  Many-body localization provides a mechanism to avoid thermalization in isolated quantum systems. Previously, De Roeck textitet al.[arXiv:1506.01505] suggested a possible instability of the many-body mobility edge in energy density.
  arXiv  Detail & Related papers  (2020-05-06T17:59:13Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.