Time‐dependent density matrix renormalization group method for quantum dynamics in complex systems

J Ren, W Li, T Jiang, Y Wang… - Wiley Interdisciplinary …, 2022 - Wiley Online Library
The simulations of spectroscopy and quantum dynamics are of vital importance to the
understanding of the electronic processes in complex systems, including the …

Open quantum system dynamics from infinite tensor network contraction

V Link, HH Tu, WT Strunz - Physical Review Letters, 2024 - APS
Approaching the long-time dynamics of non-Markovian open quantum systems presents a
challenging task if the bath is strongly coupled. Recent proposals address this problem …

Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems

B Buča - Physical Review X, 2023 - APS
Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator
algebraic theory of dynamics in locally interacting systems in any dimension is provided …

Fingerprint and universal Markovian closure of structured bosonic environments

A Nüßeler, D Tamascelli, A Smirne, J Lim, SF Huelga… - Physical Review Letters, 2022 - APS
We exploit the properties of chain mapping transformations of bosonic environments to
identify a finite collection of modes able to capture the characteristic features, or fingerprint …

OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors

GE Fux, P Fowler-Wright, J Beckles, EP Butler… - The Journal of …, 2024 - pubs.aip.org
Non-Markovian dynamics arising from the strong coupling of a system to a structured
environment is essential in many applications of quantum mechanics and emerging …

Hierarchical equations of motion approach to hybrid fermionic and bosonic environments: Matrix product state formulation in twin space

Y Ke, R Borrelli, M Thoss - The Journal of Chemical Physics, 2022 - pubs.aip.org
We extend the twin-space formulation of the hierarchical equations of motion approach in
combination with the matrix product state representation [R. Borrelli, J. Chem. Phys. 150 …

Diagrammatic method for many-body non-Markovian dynamics: Memory effects and entanglement transitions

G Chiriacò, M Tsitsishvili, D Poletti, R Fazio… - Physical Review B, 2023 - APS
We study the quantum dynamics of a many-body system subject to coherent evolution and
coupled to a non-Markovian bath. We propose a technique to unravel the non-Markovian …

Controlling matter phases beyond Markov

B Debecker, J Martin, F Damanet - Physical Review Letters, 2024 - APS
Controlling phase transitions in quantum systems via coupling to reservoirs has been mostly
studied for idealized memory-less environments under the so-called Markov approximation …

Non-markovian quantum dynamics in strongly coupled multimode cavities conditioned on continuous measurement

V Link, K Müller, RG Lena, K Luoma, F Damanet… - PRX Quantum, 2022 - APS
An important challenge in non-Markovian open quantum systems is to understand what
information we gain from continuous measurement of an output field. For example, atoms in …

Non-Markovian stochastic Schrödinger equation: Matrix-product-state approach to the hierarchy of pure states

X Gao, J Ren, A Eisfeld, Z Shuai - Physical Review A, 2022 - APS
We derive a stochastic hierarchy of matrix product states (HOMPS) for non-Markovian
dynamics in an open quantum system at finite temperature, which is numerically exact and …