Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
arXiv:2405.00765 · doi:10.1088/1361-6633/ae2888
Abstract
We develop a unified framework for open quantum systems composed of many mutually interacting quantum spins, or any isomorphic systems like qubits and qudits, surrounded by one or more independent bosonic baths. Our framework, based on Schwinger-Keldysh field theory (SKFT), can handle arbitrary spin value S, dimensionality of space, and geometry, while being applicable to a large parameter space for system and bath or their coupling. It can probe regimes in which non-Markovian dynamics and nonperturbative effects pose formidable challenges for other state-of-the-art theoretical methods. This is achieved by working with the two-particle irreducible (2PI) effective action, which resums classes of Feynman diagrams of SKFT to an infinite order. Furthermore, such diagrams are generated via an expansion in 1/N, where N is the number of Schwinger bosons we employ to map spin operators onto canonically commuting ones, rather than via conventional expansion in system-bath coupling constant. We carefully benchmark our SKFT+2PI-computed results vs. numerically (quasi)exact ones from tensor network calculations applied to the archetypical spin-boson model where both methodologies are applicable. Additionally, we demonstrate the capability of SKFT+2PI to handle a much more complex spin-chain-boson model with multiple baths interacting with each spin where no benchmark from other methods is available at present. The favorable numerical cost of solving integro-differential equations produced by the SKFT+2PI framework with an increasing number of spins and time steps makes it a promising route for simulating driven-dissipative systems in quantum computing, quantum magnonics, and quantum spintronics.
24 pages, 12 figures, 168 references
References in corpus (36)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
- Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
- Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
- Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
- Quantification of memory effects in the spin-boson model
- Non-perturbative stochastic method for driven spin-boson model
- Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
- Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
- Harnessing the Quantum Behavior of Spins on Surfaces
- Dephasing-assisted Gain and Loss in Mesoscopic Quantum Systems
- Keldysh meets Lindblad: Correlated Gain and Loss in Higher-Order Perturbation Theory
- Learning tensor networks with tensor cross interpolation: new algorithms and libraries
- Spin torque driven electron paramagnetic resonance of a single spin in a pentacene molecule
- Two-bath spin-boson model: Phase diagram and critical properties
- Smoking-gun signatures of non-Markovianity of a superconducting qubit
- Many-Body Open Quantum Systems
- OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
- Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
- Fingerprint and universal Markovian closure of structured bosonic environments
- ACE: A general-purpose non-Markovian open quantum systems simulation toolkit based on process tensors
- The connection between time-local and time-nonlocal perturbation expansions
- Equilibrium and nonequilibrium many-body perturbation theory: a unified framework based on the Martin-Schwinger hierarchy
- Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
- Far-from-equilibrium dynamics of an ultracold Fermi gas
- Correlation Functions From Tensor Network Influence Functionals: The Case of the Spin-Boson Model
- Adaptive Time Stepping for the Two-Time Integro-Differential Kadanoff-Baym Equations
- Transient dynamical phase diagram of the spin-boson model
- Contour calculus for many-particle functions
- Projected Entangled Pair States with flexible geometry
- About the performance of perturbative treatments of the spin-boson dynamics within the hierarchical equations of motion approach
- Simulation of Spin Chains with off-diagonal Coupling Using Inchworm Method
- Environment-Mediated Long-Ranged Correlations in Many-Body System