Dynamics of non-Markovian open quantum systems

I De Vega, D Alonso - Reviews of Modern Physics, 2017 - APS
Open quantum systems (OQSs) cannot always be described with the Markov approximation,
which requires a large separation of system and environment time scales. An overview is …

Tensor networks for complex quantum systems

R Orús - Nature Reviews Physics, 2019 - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

Nonequilibrium boundary-driven quantum systems: Models, methods, and properties

GT Landi, D Poletti, G Schaller - Reviews of Modern Physics, 2022 - APS
Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

J Marino, M Eckstein, MS Foster… - Reports on Progress in …, 2022 - iopscience.iop.org
We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

Efficient method for quantum impurity problems out of equilibrium

J Thoenniss, M Sonner, A Lerose, DA Abanin - Physical Review B, 2023 - APS
We introduce an efficient method to simulate the dynamics of an interacting quantum
impurity coupled to noninteracting fermionic reservoirs. Viewing the impurity as an open …

Encoding of matrix product states into quantum circuits of one-and two-qubit gates

SJ Ran - Physical Review A, 2020 - APS
The matrix product state (MPS) belongs to the most important models in, for example,
quantum information sciences and condensed-matter physics. However, realizing an N …

Slow quantum thermalization and many-body revivals from mixed phase space

AA Michailidis, CJ Turner, Z Papić, DA Abanin… - Physical Review X, 2020 - APS
The relaxation of few-body quantum systems can strongly depend on the initial state when
the system's semiclassical phase space is mixed; ie, regions of chaotic motion coexist with …

Nonequilibrium quantum impurity problems via matrix-product states in the temporal domain

J Thoenniss, A Lerose, DA Abanin - Physical Review B, 2023 - APS
Describing a quantum impurity coupled to one or more noninteracting fermionic reservoirs is
a paradigmatic problem in quantum many-body physics. While historically the focus has …

Tensor-network method to simulate strongly interacting quantum thermal machines

M Brenes, JJ Mendoza-Arenas, A Purkayastha… - Physical Review X, 2020 - APS
We present a methodology to simulate the quantum thermodynamics of thermal machines
which are built from an interacting working medium in contact with fermionic reservoirs at a …

Grassmann time-evolving matrix product operators for quantum impurity models

R Chen, X Xu, C Guo - Physical Review B, 2024 - APS
The time-evolving matrix product operators (TEMPO) method, which makes full use of the
Feynman-Vernon influence functional, is the state-of-the-art tensor network method for …