Linear-algebraic bath transformation for simulating complex open quantum systems
arXiv:1408.3176 · doi:10.1088/1367-2630/16/12/123008
Abstract
In studying open quantum systems, the environment is often approximated as a collection of non-interacting harmonic oscillators, a configuration also known as the star-bath model. It is also well known that the star-bath can be transformed into a nearest-neighbor interacting chain of oscillators. The chain-bath model has been widely used in renormalization group approaches. The transformation can be obtained by recursion relations or orthogonal polynomials. Based on a simple linear algebraic approach, we propose a bath partition strategy to reduce the system-bath coupling strength. As a result, the non-interacting star-bath is transformed into a set of weakly-coupled multiple parallel chains. The transformed bath model allows complex problems to be practically implemented on quantum simulators, and it can also be employed in various numerical simulations of open quantum dynamics.
9 pages, 6 figures
References in corpus (40)
- The numerical renormalization group method for quantum impurity systems
- Towards Quantum Chemistry on a Quantum Computer
- Efficient simulation of strong system-environment interactions
- Open system dynamics with non-Markovian quantum trajectories
- 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
- Quantum simulation of open-system dynamical maps with trapped ions
- Observation of topological transitions in interacting quantum circuits
- Quantum simulation of the Klein paradox with trapped ions
- High-performance solution of hierarchical equations of motions for studying energy-transfer in light-harvesting complexes
- Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
- Quantum phase transitions in the sub-ohmic spin-boson model: Failure of the quantum-classical mapping
- On the alternatives for bath correlators and spectral densities from mixed quantum-classical simulations
- Exciton dynamics and Quantumness of energy transfer in the Fenna-Matthews-Olson complex
- Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
- A variational description of the quantum phase transition in the sub-Ohmic spin-boson model
- Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
- Digital Quantum Simulation of Spin Systems in Superconducting Circuits
- Quantum simulator of an open quantum system using superconducting qubits: exciton transport in photosynthetic complexes
- Quantum Simulation of Quantum Field Theories in Trapped Ions
- Atomistic study of energy funneling in the light-harvesting complex of green sulfur bacteria
- Non-perturbative stochastic method for driven spin-boson model
- Memory-assisted exciton diffusion in the chlorosome light-harvesting antenna of green sulfur bacteria
- Analogue of cosmological particle creation in an ion trap
- Simulation of chemical reaction dynamics on an NMR quantum computer
- Tunable Holstein model with cold polar molecules
- Digital Quantum Simulation of the Statistical Mechanics of a Frustrated Magnet
- Analog Superconducting Quantum Simulator for Holstein Polarons
- Theoretical characterization of excitation energy transfer in chlorosome light-harvesting antennae from green sulfur bacteria
- Quantum Simulation of the Majorana Equation and Unphysical Operations
- Quantum simulation of small-polaron formation with trapped ions
- Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
- Experimental simulation of quantum tunneling in small systems
- Quantum simulator for the Ising model with electrons floating on a helium film
- Quantum simulator for the Schwinger effect with atoms in bi-chromatic optical lattices
- Application of the coherent state formalism to multiply excited states
- Exact stochastic simulation of dissipation and non-Markovian effects in open quantum systems
- Derivation of exact master equation with stochastic description: Dissipative harmonic oscillator
- Quantum simulator for the $\f{O(3)}$ nonlinear sigma model
- A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath
Cited by in corpus (16)
- Noisy intermediate-scale quantum (NISQ) algorithms
- Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
- Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
- Hierarchical equations for open system dynamics in fermionic and bosonic environments
- Symmetry enhanced variational quantum spin eigensolver
- Towards Outperforming Classical Algorithms with Analog Quantum Simulators
- Electron pumping in the strong coupling and non-Markovian regime: A reaction coordinate mapping approach
- Phonon-mediated repulsion, sharp transitions and (quasi)self-trapping in the extended Peierls-Hubbard model
- The reaction coordinate mapping in quantum thermodynamics
- Convergence guarantees for discrete mode approximations to non-Markovian quantum baths
- Collective couplings: rectification and supertransmittance
- Steady state in strong system-bath coupling: mean force Gibbs state versus reaction coordinate
- Pseudomodes and the corresponding transformation of the temperature-dependent bath correlation function
- Transport through a quantum critical system: A thermodynamically consistent approach
- Non-equilibrium boundary driven quantum systems: models, methods and properties
- Variational simulation of higher-spin systems on qubit-based quantum simulators