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.

arXiv comment22 pages, 11 figures

References in corpus (39)

• 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
• The Renormalization Group and Singular Perturbations: Multiple-Scales, Boundary Layers and Reductive Perturbation Theory
• Controlling the dynamics of an open many-body quantum system with localized dissipation
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Renormalization Group Theory for Global Asymptotic Analysis
• Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
• Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
• A pedestrian's view on interacting particle systems, KPZ universality, and random matrices
• Non-equilibrium steady-states in a driven-dissipative superfluid
• Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
• An appetizer to modern developments on the Kardar-Parisi-Zhang universality class
• Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
• Universal self-similar dynamics of relativistic and nonrelativistic field theories near nonthermal fixed points
• Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin-$1/2$ chain
• Super-fermion representation of the Lindblad master equation for the electron transport problem
• Dissipative spin chain as a non-Hermitian Kitaev ladder
• Anomalous spin diffusion in one-dimensional antiferromagnets
• Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
• Crossover between ballistic and diffusive transport: The Quantum Exclusion Process
• Superuniversality of superdiffusion
• Superdiffusion from emergent classical solitons in quantum spin chains
• Open Quantum Symmetric Simple Exclusion Process
• Anomalous relaxation and the high-temperature structure factor of XXZ spin chains
• Universality classes of spin transport in one-dimensional isotropic magnets: the onset of logarithmic anomalies
• Dissipative quantum Ising chain as a non-Hermitian Ashkin-Teller model
• Stochastic exclusion processes versus coherent transport
• Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method
• Family-Vicsek Scaling of Roughness Growth in a Strongly Interacting Bose Gas
• Entanglement distribution in the Quantum Symmetric Simple Exclusion Process
• Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport
• From stochastic spin chains to quantum Kardar-Parisi-Zhang dynamics
• High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging KPZ-scaling in the zero-magnetization limit
• Current fluctuations in boundary-driven quantum spin chains
• Competing coherent and dissipative dynamics close to quantum criticality
• Power-law approach to steady state in open lattices of non-interacting electrons
• Time-dependent Correlation Functions in Open Quadratic Fermionic Systems
• Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
• Solution to the Quantum Symmetric Simple Exclusion Process : the Continuous Case

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• 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