Localization and integrability breaking in weakly interacting Floquet circuits

• URL: http://arxiv.org/abs/2311.02197v2
• Date: Mon, 1 Apr 2024 14:11:52 GMT
• Title: Localization and integrability breaking in weakly interacting Floquet circuits
• Authors: Dominik Hahn, Luis Colmenarez,
• Abstract summary: Floquet circuits can interpolate between non-interacting qubits, free propagation, generic interacting, and dual-unitary dynamics. We identify the operator entanglement entropy of the two-qubit gate as a good measure of the interaction strength.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a family of Floquet circuits that can interpolate between non-interacting qubits, free propagation, generic interacting, and dual-unitary dynamics. We identify the operator entanglement entropy of the two-qubit gate as a good quantitative measure of the interaction strength. We test the persistence of localization in the vicinity of the non-interacting point by probing spectral statistics, decay of autocorrelators, and measuring entanglement growth. The finite-size analysis suggests that the many-body localized regime does not persist in the thermodynamic limit. Instead, our results are compatible with an integrability-breaking phenomenon.

Related papers

• Entanglement and operator correlation signatures of many-body quantum Zeno phases in inefficiently monitored noisy systems [49.1574468325115]
  The interplay between information-scrambling Hamiltonians and local continuous measurements hosts platforms for exotic measurement-induced phase transition. We identify a non-monotonic dependence on the local noise strength in both the averaged entanglement and operator correlations. The analysis of scaling with the system size in a finite length chain indicates that, at finite efficiency, this effect leads to distinct MiPTs for operator correlations and entanglement.
  arXiv  Detail & Related papers  (2024-07-16T13:42:38Z)
• Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
  We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
  arXiv  Detail & Related papers  (2023-12-21T16:53:42Z)
• Nonlocal thermoelectric detection of interaction and correlations in edge states [62.997667081978825]
  We propose the nonlocal thermoelectric response as a direct indicator of the presence of interactions, nonthermal states and the effect of correlations. A setup with two controllable quantum point contacts allows thermoelectricity to monitor the interacting system thermalisation.
  arXiv  Detail & Related papers  (2023-07-18T16:28:59Z)
• Dynamics of a quantum interacting system: Extended global approach beyond the Born-Markov and secular approximation [0.0]
  We present a formalism that leads to the time-convolutionless (time-local) master equation. We apply it to the excitation energy transfer between interacting sites in which only the terminal site weakly interacts with a bosonic environment of finite temperature.
  arXiv  Detail & Related papers  (2023-03-06T06:44:52Z)
• Multifractality in the interacting disordered Tavis-Cummings model [0.0]
  We analyze the spectral and transport properties of the interacting disordered Tavis-Cummings model at half excitation filling. We find that the bipartite entanglement entropy grows logarithmically with time. We show that these effects are due to the combination of finite interactions and integrability of the model.
  arXiv  Detail & Related papers  (2023-02-28T16:31:12Z)
• Statics and Dynamics of non-Hermitian Many-Body Localization [0.0]
  Many-body localized phases retain memory of their initial conditions in disordered interacting systems. We focus on the interacting Hatano-Nelson model which breaks unitarity via asymmetric hopping. Our findings suggest the possibility of an intermediate dynamical regime in disordered open systems.
  arXiv  Detail & Related papers  (2023-01-04T18:58:17Z)
• Exploiting disorder to probe spin and energy hydrodynamics [6.655372107268362]
  We introduce a novel technique that enables the measurement of local correlation functions, down to single-site resolution. We measure both the spin and energy transport in nuclear spin chains. Interestingly, when the system is both interacting and (nearly-)integrable, we observe the coexistence of diffusive spin transport with ballistic energy transport.
  arXiv  Detail & Related papers  (2022-09-19T19:38:05Z)
• Formation of robust bound states of interacting microwave photons [148.37607455646454]
  One of the hallmarks of interacting systems is the formation of multi-particle bound states. We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model. By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
  arXiv  Detail & Related papers  (2022-06-10T17:52:29Z)
• Hidden Quantum Criticality and Entanglement in Quench Dynamics [0.0]
  Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. A quantum quench imparts extensive energy and results in a build-up of entropy, hence no critical behavior is expected at long times. We show that quantum criticality is hidden in higher-order correlations and becomes manifest via measures such as the mutual information and logarithmic negativity.
  arXiv  Detail & Related papers  (2022-02-09T19:00:00Z)
• Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
  We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
  arXiv  Detail & Related papers  (2021-09-27T17:45:42Z)
• Distributing entanglement with separable states: assessment of encoding and decoding imperfections [55.41644538483948]
  Entanglement can be distributed using a carrier which is always separable from the rest of the systems involved. We consider the effect of incoherent dynamics acting alongside imperfect unitary interactions. We show that entanglement gain is possible even with substantial unitary errors.
  arXiv  Detail & Related papers  (2020-02-11T15:25:19Z)

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.