Influence of dephasing on many-body localization

Abstract

We study the effects of dephasing noise on a prototypical many-body localized system -- the XXZ spin 1/2 chain with a disordered magnetic field. At times longer than the inverse dephasing strength the dynamics of the system is described by a probabilistic Markov process on the space of diagonal density matrices, while all off-diagonal elements of the density matrix decay to zero. The generator of the Markovian process is a bond-disordered spin chain. The scaling variable is identified, and independence of relaxation on the interaction strength is demonstrated. We show that purity and von Neumann entropy are extensive, showing no signatures of localization, while the operator space entanglement entropy exhibits a logarithmic growth with time until the final saturation corresponding to localization breakdown, suggesting a many-body localized dynamics of the effective Markov process.

9 pages, 5 figures; v2: the same content, but with some additional explanations, references and appendices

References in corpus (12)

• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• Many-body localization edge in the random-field Heisenberg chain
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Integrals of motion in the Many-Body localized phase
• Operator space entanglement entropy in transverse Ising chain
• Dynamics of a Many-Body-Localized System Coupled to a Bath
• Is efficiency of classical simulations of quantum dynamics related to integrability?
• Transport in a disordered tight-binding chain with dephasing
• Particle-hole symmetry, many-body localization, and topological edge modes
• Light scattering and dissipative dynamics of many fermionic atoms in an optical lattice

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