Efficient non-Markovian quantum dynamics using time-evolving matrix product operators

@article{Strathearn2018EfficientNQ,
  title={Efficient non-Markovian quantum dynamics using time-evolving matrix product operators},
  author={A. Strathearn and P. Kirton and D. Kilda and Jonathan Keeling and B. Lovett},
  journal={Nature Communications},
  year={2018},
  volume={9}
}
In order to model realistic quantum devices it is necessary to simulate quantum systems strongly coupled to their environment. To date, most understanding of open quantum systems is restricted either to weak system–bath couplings or to special cases where specific numerical techniques become effective. Here we present a general and yet exact numerical approach that efficiently describes the time evolution of a quantum system coupled to a non-Markovian harmonic environment. Our method relies on… Expand
Using the Environment to Understand non-Markovian Open Quantum Systems
Tracing out the environmental degrees of freedom is a necessary procedure when simulating open quantum systems. While being an essential step in deriving a tractable master equation it represents aExpand
Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution
This paper presents an efficient algorithm for the time evolution of open quantum many-body systems using matrix-product states (MPS) proposing a convenient structure of the MPS-architecture, whichExpand
Path-integral approach for nonequilibrium multi-time correlation functions of open quantum systems coupled to Markovian and non-Markovian environments
Using a real-time path integral approach we develop an algorithm to calculate multi-time correlation functions of open few-level quantum systems that is applicable to highly nonequilibrium dynamics.Expand
Exploiting the Causal Tensor Network Structure of Quantum Processes to Efficiently Simulate Non-Markovian Path Integrals.
TLDR
This work relates the influence functional to the process tensor-a more general representation of a quantum stochastic process-describing the evolution, and uses this connection to motivate a tensor network algorithm for the simulation of multitime correlations in open systems. Expand
Unveiling non-Markovian spacetime signalling in open quantum systems with long-range tensor network dynamics
Nanoscale devices either biological or artificial operate in a regime where the usual assumptions of a structureless, Markovian, bath do not hold. Being able to predict and study the dynamics of suchExpand
Efficient simulation of open quantum systems coupled to a fermionic bath
We present and analyze the fermionic time evolving density matrix using orthogonal polynomials algorithm (fTEDOPA), which enables the numerically exact simulation of open quantum systems coupled to aExpand
Coherent backaction between spins and an electronic bath: Non-Markovian dynamics and low-temperature quantum thermodynamic electron cooling
We provide a versatile analytical framework for calculating the dynamics of a spin system in contact with a fermionic bath beyond the Markov approximation. The approach is based on a second-orderExpand
Efficient Exploration of Hamiltonian Parameter Space for Optimal Control of Non-Markovian Open Quantum Systems.
TLDR
The numerically exact time evolving matrix product operator (TEMPO) method is modified, such that it allows the repeated computation of the time evolution of the reduced system density matrix for various sets of control parameters at very low computational cost. Expand
Publisher’s Note
Feynman-Vernon influence functional (IF) was originally introduced to describe the effect of a quantum environment on the dynamics of an open quantum system. We apply the IF approach to describeExpand
Optimized auxiliary oscillators for the simulation of general open quantum systems
A method for the systematic construction of few-body damped harmonic oscillator networks accurately reproducing the effect of general bosonic environments in open quantum systems is presented. UnderExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 95 REFERENCES
Efficient Real-Time Path Integrals Calculations for Non-Markovian Spin-Boson Models
Strong coupling between a system and its environment leads to the emergence of non-Markovian dynamics, which cannot be described by a time-local master equation. One way to capture such dynamics isExpand
Non-Markovian dynamical maps: numerical processing of open quantum trajectories.
TLDR
The non-Markovian transfer tensor method (TTM) demonstrates the coherent-to-incoherent transition as a function of the strength of quantum dissipation and predicts the noncanonical equilibrium distribution due to the system-bath entanglement. Expand
Path-integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative systems
We present a numerical path-integral iteration scheme for the low-dimensional reduced density matrix of a time-dependent quantum dissipative system. Our approach simultaneously accounts for theExpand
TENSOR PROPAGATOR FOR ITERATIVE QUANTUM TIME EVOLUTION OF REDUCED DENSITY MATRICES. I: THEORY
For common condensed phase problems described by a low‐dimensional system coupled to a harmonic bath, Feynman’s path integral formulation of time‐dependent quantum mechanics leads to expressions forExpand
Quantum dynamics for a system coupled to slow baths: On-the-fly filtered propagator method
An on-the-fly filtered propagator functional path integral scheme is introduced as an efficient way of calculating the iterative dynamics of complex condensed systems. Time evolution of the reducedExpand
Dynamics of non-Markovian open quantum systems
Open quantum systems (OQSs) cannot always be described with the Markov approximation, which requires a large separation of system and environment time scales. Here, we give an overview of some of theExpand
Dynamics, synchronization, and quantum phase transitions of two dissipative spins
We analyze the static and dynamic properties of two Ising-coupled quantum spins embedded in a common bosonic bath as an archetype of dissipative quantum mechanics. First, we elucidate theExpand
A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots
We develop a versatile master equation approach to describe the nonequilibrium dynamics of a two-level system in contact with a bosonic environment, which allows for the exploration of a wide rangeExpand
Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
Quantum systems are invariably open, evolving under surrounding influences rather than in isolation. Standard open quantum system methods eliminate all information on the environmental state to yieldExpand
Quantum phase transition and correlations in the multi-spin-boson model
We consider multiple non-interacting quantum mechanical two-level systems coupled to a common bosonic bath and study its quantum phase transition with Monte Carlo simulations using a continuousExpand
...
1
2
3
4
5
...