Non-Hermitian Floquet topological matter—a review

L Zhou, DJ Zhang - Entropy, 2023 - mdpi.com
The past few years have witnessed a surge of interest in non-Hermitian Floquet topological
matter due to its exotic properties resulting from the interplay between driving fields and non …

Non-Hermitian skin effect and chiral dam** in open quantum systems

F Song, S Yao, Z Wang - Physical review letters, 2019 - APS
One of the unique features of non-Hermitian Hamiltonians is the non-Hermitian skin effect,
namely, that the eigenstates are exponentially localized at the boundary of the system. For …

Field theory of many-body Lindbladian dynamics

F Thompson, A Kamenev - Annals of Physics, 2023 - Elsevier
We review and further develop the Keldysh functional integral technique for the study of
Lindbladian evolution of many-body driven-dissipative quantum systems. A systematic and …

Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps

F Minganti, A Miranowicz, RW Chhajlany, F Nori - Physical Review A, 2019 - APS
Exceptional points (EPs) correspond to degeneracies of open systems. These are attracting
much interest in optics, optoelectronics, plasmonics, and condensed matter physics. In the …

Tenfold way for quadratic lindbladians

S Lieu, M McGinley, NR Cooper - Physical Review Letters, 2020 - APS
We uncover a topological classification applicable to open fermionic systems governed by a
general class of Lindblad master equations. These “quadratic Lindbladians” can be …

Helical dam** and dynamical critical skin effect in open quantum systems

CH Liu, K Zhang, Z Yang, S Chen - Physical Review Research, 2020 - APS
Non-Hermitian skin effect and critical skin effect are unique features of non-Hermitian
systems. In this work, we explore novel phenomena associated with the Z 2 skin effect and …

Liouvillian skin effect in an exactly solvable model

F Yang, QD Jiang, EJ Bergholtz - Physical Review Research, 2022 - APS
The interplay between dissipation, topology, and sensitivity to boundary conditions has
recently attracted tremendous amounts of attention at the level of effective non-Hermitian …

Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories

F Minganti, A Miranowicz, RW Chhajlany, II Arkhipov… - Physical Review A, 2020 - APS
Exceptional points (EPs) are degeneracies of classical and quantum open systems, which
are studied in many areas of physics including optics, optoelectronics, plasmonics, and …

Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems

T Barthel, Y Zhang - Journal of Statistical Mechanics: Theory and …, 2022 - iopscience.iop.org
The dynamics of Markovian open quantum systems are described by Lindblad master
equations. For fermionic and bosonic systems that are quasi-free, ie with Hamiltonians that …

Driving-induced multiple -symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals

L Zhou, W Han - Physical Review B, 2022 - APS
The cooperation between time-periodic driving fields and non-Hermitian effects could
endow systems with distinctive spectral and transport properties. In this paper, we uncover …