SciPost Physics

SciPost Phys. 3, 033 (2017) · published 4 November 2017

• doi: 10.21468/SciPostPhys.3.5.033
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Abstract

Motivated by the search for a quantum analogue of the macroscopic fluctuation theory, we study quantum spin chains dissipatively coupled to quantum noise. The dynamical processes are encoded in quantum stochastic differential equations. They induce dissipative friction on the spin chain currents. We show that, as the friction becomes stronger, the noise induced dissipative effects localize the spin chain states on a slow mode manifold, and we determine the effective stochastic quantum dynamics of these slow modes. We illustrate this approach by studying the quantum stochastic Heisenberg spin chain.

• Jin et al., Interplay between transport and quantum coherences in free fermionic systems
  J. Phys. A: Math. Theor. 54, 404001 (2021) [Crossref]
• Ilievski et al., Superdiffusion in One-Dimensional Quantum Lattice Models
  Phys. Rev. Lett. 121, 230602 (2018) [Crossref]
• Bernard et al., Dynamics of fluctuations in quantum simple exclusion processes
  SciPost Phys. 12, 042 (2022) [Crossref]
• Bernard et al., Open Quantum Symmetric Simple Exclusion Process
  Phys. Rev. Lett. 123, 080601 (2019) [Crossref]
• Michailidis et al., Corrections to Diffusion in Interacting Quantum Systems
  Phys. Rev. X 14, 031020 (2024) [Crossref]
• De Nardis et al., Particle-hole pairs and density–density correlations in the Lieb–Liniger model
  J. Stat. Mech. 2018, 033102 (2018) [Crossref]
• Robertson et al., Exact solution of a quantum asymmetric exclusion process with particle creation and annihilation
  J. Stat. Mech. 2021, 103102 (2021) [Crossref]
• Bauer et al., Equilibrium fluctuations in maximally noisy extended quantum systems
  SciPost Phys. 6, 045 (2019) [Crossref]
• Frassek et al., Duality in quantum transport models
  SciPost Phys. 10, 135 (2021) [Crossref]
• Murciano et al., Symmetry-resolved Page curves
  Phys. Rev. D 106, 046015 (2022) [Crossref]
• Bianchi et al., Page curve for fermionic Gaussian states
  Phys. Rev. B 103, L241118 (2021) [Crossref]
• Bastianello et al., Generalized hydrodynamics with dephasing noise
  Phys. Rev. B 102, 161110 (2020) [Crossref]
• Essler et al., Integrability of one-dimensional Lindbladians from operator-space fragmentation
  Phys. Rev. E 102, 062210 (2020) [Crossref]
• Doikou et al., Stochastic analysis & discrete quantum systems
  Nuclear Physics B 945, 114658 114658 (2019) [Crossref]
• Ziolkowska et al., Yang-Baxter integrable Lindblad equations
  SciPost Phys. 8, 044 (2020) [Crossref]
• Christopoulos et al., Universal Out-of-Equilibrium Dynamics of 1D Critical Quantum Systems Perturbed by Noise Coupled to Energy
  Phys. Rev. X 13, 011043 (2023) [Crossref]
• Bernard et al., Entanglement distribution in the quantum symmetric simple exclusion process
  Phys. Rev. E 104, 014146 (2021) [Crossref]
• Jin et al., Exact description of quantum stochastic models as quantum resistors
  Phys. Rev. Research 4, 013109 (2022) [Crossref]
• Ferreira et al., Ballistic-to-diffusive transition in spin chains with broken integrability
  Phys. Rev. B 102, 184304 (2020) [Crossref]
• Jin et al., Generic transport formula for a system driven by Markovian reservoirs
  Phys. Rev. B 102, 205131 (2020) [Crossref]
• Krapivsky et al., Free bosons with a localized source
  J. Stat. Mech. 2020, 063101 (2020) [Crossref]
• Knap, Entanglement production and information scrambling in a noisy spin system
  Phys. Rev. B 98, 184416 (2018) [Crossref]
• Doyon et al., Fluctuations in Ballistic Transport from Euler Hydrodynamics
  Ann. Henri Poincaré 21, 255 (2020) [Crossref]
• Bernard, Can the macroscopic fluctuation theory be quantized?
  J. Phys. A: Math. Theor. 54, 433001 (2021) [Crossref]
• Turkeshi et al., Enhanced entanglement negativity in boundary-driven monitored fermionic chains
  Phys. Rev. B 106, 024304 (2022) [Crossref]
• Bianchi et al., Volume-Law Entanglement Entropy of Typical Pure Quantum States
  PRX Quantum 3, 030201 (2022) [Crossref]
• De Nardis et al., Diffusion in generalized hydrodynamics and quasiparticle scattering
  SciPost Phys. 6, 049 (2019) [Crossref]
• Jin et al., From Stochastic Spin Chains to Quantum Kardar-Parisi-Zhang Dynamics
  Phys. Rev. Lett. 125, 040603 (2020) [Crossref]
• Hruza et al., Coherent Fluctuations in Noisy Mesoscopic Systems, the Open Quantum SSEP, and Free Probability
  Phys. Rev. X 13, 011045 (2023) [Crossref]
• Skopenkov et al., Feynman checkers: lattice quantum field theory with real time
  Anal.Math.Phys. 14, 38 (2024) [Crossref]
• Rowlands et al., Noisy coupled qubits: Operator spreading and the Fredrickson-Andersen model
  Phys. Rev. B 98, 195125 (2018) [Crossref]
• Medenjak et al., Diffusion from convection
  SciPost Phys. 9, 075 (2020) [Crossref]
• Jin et al., Measurement-induced phase transition in a single-body tight-binding model
  Phys. Rev. B 110, L060202 (2024) [Crossref]
• Skinner et al., Measurement-Induced Phase Transitions in the Dynamics of Entanglement
  Phys. Rev. X 9, 031009 (2019) [Crossref]
• Rowlands et al., Noisy Spins and the Richardson-Gaudin Model
  Phys. Rev. Lett. 120, 090401 (2018) [Crossref]
• Jin et al., Semiclassical theory of quantum stochastic resistors
  Phys. Rev. Research 5, 013033 (2023) [Crossref]
• Ferreira et al., Transport and Nonreciprocity in Monitored Quantum Devices: An Exact Study
  Phys. Rev. Lett. 132, 136301 (2024) [Crossref]
• Benoist et al., Emergence of Jumps in Quantum Trajectories via Homogenization
  Commun. Math. Phys. 387, 1821 (2021) [Crossref]
• Ladewig et al., Monitored open fermion dynamics: Exploring the interplay of measurement, decoherence, and free Hamiltonian evolution
  Phys. Rev. Research 4, 033001 (2022) [Crossref]
• Turkeshi et al., Density and current statistics in boundary-driven monitored fermionic chains
  Phys. Rev. B 109, 144306 (2024) [Crossref]