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 …

Neural-network approach to dissipative quantum many-body dynamics

MJ Hartmann, G Carleo - Physical review letters, 2019 - APS
In experimentally realistic situations, quantum systems are never perfectly isolated and the
coupling to their environment needs to be taken into account. Often, the effect of the …

Simulation methods for open quantum many-body systems

H Weimer, A Kshetrimayum, R Orús - Reviews of Modern Physics, 2021 - APS
Coupling a quantum many-body system to an external environment dramatically changes its
dynamics and offers novel possibilities not found in closed systems. Of special interest are …

Constructing neural stationary states for open quantum many-body systems

N Yoshioka, R Hamazaki - Physical Review B, 2019 - APS
We propose a scheme based on the neural-network quantum states to simulate the
stationary states of open quantum many-body systems. Using the high expressive power of …

A simple tensor network algorithm for two-dimensional steady states

A Kshetrimayum, H Weimer, R Orús - Nature communications, 2017 - nature.com
Understanding dissipation in 2D quantum many-body systems is an open challenge which
has proven remarkably difficult. Here we show how numerical simulations for this problem …

Quantum neural network states: A brief review of methods and applications

ZA Jia, B Yi, R Zhai, YC Wu, GC Guo… - Advanced Quantum …, 2019 - Wiley Online Library
One of the main challenges of quantum many‐body physics is the exponential growth in the
dimensionality of the Hilbert space with system size. This growth makes solving the …

Quantum criticality in open quantum spin chains with nonreciprocity

SE Begg, R Hanai - Physical Review Letters, 2024 - APS
We investigate the impact of nonreciprocity on universality and critical phenomena in open
quantum interacting many-body systems. Nonreciprocal open quantum systems often have …

Telomeres and cancer

HC Fan, FW Chang, JD Tsai, KM Lin, CM Chen, SZ Lin… - Life, 2021 - mdpi.com
Telomeres cap the ends of eukaryotic chromosomes and are indispensable chromatin
structures for genome protection and replication. Telomere length maintenance has been …

Stable ipepo tensor-network algorithm for dynamics of two-dimensional open quantum lattice models

C Mc Keever, MH Szymańska - Physical Review X, 2021 - APS
Being able to accurately describe the dynamics steady states of driven and/or dissipative but
quantum correlated lattice models is of fundamental importance in many areas of science …