Impact of Dissipation on Universal Fluctuation Dynamics in Open Quantum Systems

Abstract

Recent experimental and theoretical works have uncovered nontrivial quantum dynamics due to external dissipation. Using an exact numerical method and a renormalization-group-based analytical technique, we theoretically elucidate that dissipation drastically alters universal particle-number-fluctuation dynamics related to surface-roughness growth in non-interacting fermions and bosons. In a system under dephasing that causes loss of spatial coherence, we find that a universality class of surface-roughness dynamics changes from the ballistic class to a class with the Edwards-Wilkinson scaling exponents and an unconventional scaling function. On the other hand, in a system under dissipation with in- and out-flow of particles that breaks particle-number conservation, the universal dynamics is lost.

22 pages, 11 figures

References in corpus (7)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
• Super-fermion representation of the Lindblad master equation for the electron transport problem
• Power-law approach to steady state in open lattices of non-interacting electrons
• Time-dependent Correlation Functions in Open Quadratic Fermionic Systems

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• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model
• Interface dynamics in the two-dimensional quantum Ising model
• Dynamic scaling relation in quantum many-body systems
• Kardar-Parisi-Zhang fluctuations in the synchronization dynamics of limit-cycle oscillators
• A Unified Interface Model for Dissipative Transport of Bosons and Fermions
• Exact density profile in a tight-binding chain with dephasing noise
• Power-law entanglement and Hilbert space fragmentation in non-reciprocal quantum circuits
• Kinetically constrained models constructed from dissipative quantum dynamics
• Dynamic scaling and Family-Vicsek universality in $SU(N)$ quantum spin chains
• Family-Vicsek universality of the binary intrinsic dimension of nonequilibrium data