Random quantum circuits

MPA Fisher, V Khemani, A Nahum… - Annual Review of …, 2023 - annualreviews.org
Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

Developments in the tensor network—from statistical mechanics to quantum entanglement

K Okunishi, T Nishino, H Ueda - Journal of the Physical Society of …, 2022 - journals.jps.jp
Tensor networks (TNs) have become one of the most essential building blocks for various
fields of theoretical physics such as condensed matter theory, statistical mechanics …

Entanglement phase transition induced by the non-Hermitian skin effect

K Kawabata, T Numasawa, S Ryu - Physical Review X, 2023 - APS
Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory

A Nahum, S Roy, B Skinner, J Ruhman - PRX Quantum, 2021 - APS
A quantum many-body system whose dynamics includes local measurements at a nonzero
rate can be in distinct dynamical phases, with differing entanglement properties. We …

Effective theory for the measurement-induced phase transition of Dirac fermions

M Buchhold, Y Minoguchi, A Altland, S Diehl - Physical Review X, 2021 - APS
A wave function subject to unitary time evolution and exposed to measurements undergoes
pure state dynamics, with deterministic unitary and probabilistic measurement-induced state …

Measurement-induced phase transition in the monitored Sachdev-Ye-Kitaev model

SK Jian, C Liu, X Chen, B Swingle, P Zhang - Physical review letters, 2021 - APS
We construct Brownian Sachdev-Ye-Kitaev (SYK) chains subjected to continuous monitoring
and explore possible entanglement phase transitions therein. We analytically derive the …

Nonlinear sigma models for monitored dynamics of free fermions

M Fava, L Piroli, T Swann, D Bernard, A Nahum - Physical Review X, 2023 - APS
We derive field theory descriptions for measurement-induced phase transitions in free
fermion systems. We focus on a multiflavor Majorana chain, undergoing Hamiltonian …

Entanglement transition in a monitored free-fermion chain: From extended criticality to area law

O Alberton, M Buchhold, S Diehl - Physical Review Letters, 2021 - APS
We analyze the quantum trajectory dynamics of free fermions subject to continuous
monitoring. For weak monitoring, we identify a novel dynamical regime of subextensive …

Theory of free fermions under random projective measurements

I Poboiko, P Pöpperl, IV Gornyi, AD Mirlin - Physical Review X, 2023 - APS
We develop an analytical approach to the study of one-dimensional free fermions subject to
random projective measurements of local site occupation numbers, based on the Keldysh …

Measurement-induced dark state phase transitions in long-ranged fermion systems

T Müller, S Diehl, M Buchhold - Physical Review Letters, 2022 - APS
We identify an unconventional algebraic scaling phase in the quantum dynamics of long-
range hopping, free fermions, which are exposed to continuous local measurements. The …