Fermionic duality: General symmetry of open systems with strong dissipation and memory
arXiv:2104.11202 · doi:10.21468/SciPostPhys.11.3.053
Abstract
We consider the exact time-evolution of a broad class of fermionic open quantum systems with both strong interactions and strong coupling to wide-band reservoirs. We present a nontrivial fermionic duality relation between the evolution of states (Schrödinger) and of observables (Heisenberg). We show how this highly nonintuitive relation can be understood and exploited in analytical calculations within all canonical approaches to quantum dynamics, covering Kraus measurement operators, the Choi-Jamiołkowski state, time-convolution and convolutionless quantum master equations and generalized Lindblad jump operators. We discuss the insights this offers into the divisibility and causal structure of the dynamics and the application to nonperturbative Markov approximations and their initial-slip corrections. Our results underscore that predictions for fermionic models are already fixed by fundamental principles to a much greater extent than previously thought.
arXiv comment47 pages, 6 figures; submission to SciPost
References in corpus (73)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- The role of quantum information in thermodynamics --- a topical review
- Open Quantum Systems. An Introduction
- Symmetries and conserved quantities in Lindblad master equations
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Open system dynamics with non-Markovian quantum trajectories
- Concepts of quantum non-Markovianity: a hierarchy
- Stochastic wave function method for non-Markovian quantum master equations
- Non-Markovian quantum jumps
- The non-Markovian stochastic Schrodinger equation for open systems
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Zero-bias anomalies and boson-assisted tunneling through quantum dots
- Kinetic Equations for Transport Through Single-Molecule Transistors
- A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
- Virtual excitations in the ultra-strongly-coupled spin-boson model: physical results from unphysical modes
- Adiabatic pumping through interacting quantum dots
- Density-operator approaches to transport through interacting quantum dots: Simplifications in fourth-order perturbation theory
- Staying positive: going beyond Lindblad with perturbative master equations
- Experimental Quantum Communication Enhancement by Superposing Trajectories
- Impact of electrode density of states on transport through pyridine-linked single molecule junctions
- Adiabatic pumping through a quantum dot with coulomb interactions: A perturbation expansion in the tunnel coupling
- Nonequilibrium Kondo model: Crossover from weak to strong coupling
- Stochastic pure state representation for open quantum systems
- PT-symmetric quantum Liouvillian dynamics
- Non-disturbing quantum measurements
- Non-adiabatic pumping through interacting quantum dots
- Dynamics of a qubit while simultaneously monitoring its relaxation and dephasing
- Fermionic superoperators for zero-temperature non-linear transport: real-time perturbation theory and renormalization group for Anderson quantum dots
- A renormalization-group analysis of the interacting resonant level model at finite bias: Generic analytic study of static properties and quench dynamics
- Time-convolutionless master equation for quantum dots: Perturbative expansion to arbitrary order
- Time scales in the dynamics of an interacting quantum dot
- Charge and spin dynamics in interacting quantum dots
- Approximate reversibility in the context of entropy gain, information gain, and complete positivity
- Post-Markov master equation for the dynamics of open quantum systems
- Fundamental limits on quantum dynamics based on entropy change
- Nonequilibrium charge-Kondo transport through negative-U molecules
- Time-dependent quantum transport: causal superfermions, exact fermion-parity protected decay mode, and Pauli exclusion principle for mixed quantum states
- Symmetry-protected coherent relaxation of open quantum systems
- Fermion-parity duality and energy relaxation in interacting open systems
- Entanglement, non-Markovianity, and causal non-separability
- Pair-tunneling resonance in the single-electron transport regime
- Feshbach projection formalism for open quantum systems
- Transport mirages in single-molecule devices
- Time local master equation connecting the Born and Markov approximations
- Kondo model in nonequilibrium: Interplay between voltage, temperature, and crossover from weak to strong coupling
- Rate operator unravelling for open quantum system dynamics
- Five approaches to exact open-system dynamics: Complete positivity, divisibility and time-dependent observables
- Quantum tomography of the full hyperfine manifold of atomic spins via continuous measurement on an ensemble
- Interaction effect on adiabatic pump of charge and spin in quantum dot
- The quench dynamics of a dissipative quantum system: a renormalization group study
- Detection of the relaxation rates of an interacting quantum dot by a capacitively coupled sensor dot
- Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equation
- Stochastic unraveling of positive quantum dynamics
- RG transport theory for open quantum systems: Charge fluctuations in multilevel quantum dots in and out of equilibrium
- How quantum evolution with memory is generated in a time-local way
- Duality for open fermion systems: energy-dependent weak coupling and quantum master equations
- Thermoelectrics of Interacting Nanosystems -- Exploiting Superselection instead of Time-Reversal Symmetry
- CMOS Platform for Atomic-Scale Device Fabrication
- Relaxation of quantum dots in a magnetic field at finite bias -- charge, spin and heat currents
- Density-operator evolution: Complete positivity and the Keldysh real-time expansion
- Dissipative quantum mechanics beyond Bloch-Redfield: A consistent weak-coupling expansion of the ohmic spin boson model at arbitrary bias
- The connection between time-local and time-nonlocal perturbation expansions
- Full counting statistics of information content in the presence of Coulomb interaction
- Slipped non-Positive Reduced Dynamics and Entanglement
- Exact density matrix of a discrete quantum system immersed in a thermal reservoir
- New results unearthed from urtexts of quantum state diffusion
- Thermovoltage in quantum dots with attractive interaction
- Continued-fraction representation of the Kraus map for non-Markovian reservoir damping
- Dynamics of open quantum systems