Localization properties in disordered quantum many-body dynamics under continuous measurement

Abstract

We study localization properties of continuously monitored dynamics and associated measurement-induced phase transitions in disordered quantum many-body systems on the basis of the quantum trajectory approach. By calculating the fidelity between random quantum trajectories, we demonstrate that the disorder and the measurement can lead to dynamical properties distinct from each other, although both have a power to suppress the entanglement spreading. In particular, in the large-disorder regime with weak measurement, we elucidate that the fidelity exhibits an anomalous power-law decay before saturating to the steady-state value. Furthermore, we propose a general method to access physical quantities for quantum trajectories in continuously monitored dynamics without resorting to postselection. It is demonstrated that this scheme drastically reduces the cost of experiments. Our results can be tested in ultracold atoms subject to continuous measurement and open the avenue to study dynamical properties of localization, which cannot be understood from the stationary properties of the entanglement entropy.

7+7 pages, 5+9 figures, To appear in Phys. Rev. B (Letter)

References in corpus (14)

• Thermalization and its mechanism for generic isolated quantum systems
• Many body localization and thermalization in quantum statistical mechanics
• Many-body localization edge in the random-field Heisenberg chain
• Many body localization in Heisenberg XXZ magnet in a random field
• Quantum trajectories and open many-body quantum systems
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Critical properties of the measurement-induced transition in random quantum circuits
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Measuring entanglement entropy of a generic many-body system with a quantum switch
• Postselection-free entanglement dynamics via spacetime duality
• Charge fluctuation and charge-resolved entanglement in a monitored quantum circuit with $U(1)$ symmetry
• Dynamics of many-body localization in the presence of particle loss
• Measurements on an Anderson Chain

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