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The quantum dynamics of interacting many-body systems has become a unique venue for the realization of novel states of matter. Here we unveil a new class of nonequilibrium states that are eigenstates of an emergent local Hamiltonian. The…

Statistical Mechanics · Physics 2017-04-27 L. Vidmar , D. Iyer , M. Rigol

Nonhermitian systems provide new avenues to create topological defect states. An unresolved general question is how much the formation of these states depends on asymmetric backscattering, be it nonreciprocal as in the nonhermitian skin…

Optics · Physics 2019-12-04 Martí Bosch , Simon Malzard , Martina Hentschel , Henning Schomerus

We derive a theory of superfluidity for a dilute Fermi gas that is valid when scattering resonances are present. The treatment of a resonance in many-body atomic physics requires a novel mean-field approach starting from an unconventional…

Soft Condensed Matter · Physics 2009-11-07 S. J. J. M. F. Kokkelmans , J. N. Milstein , M. L. Chiofalo , R. Walser , M. J. Holland

We theoretically investigate non-Hermitian $p$-wave Fermi superfluidity in one-dimensional spin-polarized Fermi gases which is relevant to recent ultracold atomic experiments. Considering an imaginary atom-dimer coupling responsible for the…

Many body models undergoing a quantum phase transition to a broken-symmetry phase that survives up to a critical temperature must possess, in the ordered phase, symmetric as well as non-symmetric eigenstates. We predict, and explicitly show…

Strongly Correlated Electrons · Physics 2015-06-11 Giacomo Mazza , Michele Fabrizio

Non-Hermitian systems at the exceptional point (EP) degeneracy are demonstrated to be highly sensitive to environmental perturbation. Here, we propose and theoretically investigate a novel multilayered heterostructure favoring double EPs…

Optics · Physics 2019-03-21 Jieun Yim , Han Zhao , Bikashkali Midya , Liang Feng

This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonators are highly contrasting material inclusions that resonate…

Mathematical Physics · Physics 2023-08-14 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Ping Liu

Many-body localization is shown to suppress imaginary parts of complex eigenenergies for general non-Hermitian Hamiltonians having time-reversal symmetry. We demonstrate that a real-complex transition, which we conjecture occurs upon…

Disordered Systems and Neural Networks · Physics 2019-09-04 Ryusuke Hamazaki , Kohei Kawabata , Masahito Ueda

We develop a framework to solve a large class of linearly driven non-Hermitian quantum systems. Such a class of models in the Hermitian scenario is commonly known as multi-state Landau-Zener models. The non-hermiticity is due to the…

Quantum Physics · Physics 2023-10-31 Rajesh K. Malla , Julia Cen , Wilton J. M. Kort-Kamp , Avadh Saxena

The cooperation between non-Hermiticity and interaction brings about a lot of counterintuitive behaviors, which are impossible to exist in the framework of the Hermitian system. We study the effect of a non-Hermitian impurity on the Hubbard…

Strongly Correlated Electrons · Physics 2020-11-11 X. Z. Zhang , Z. Song

We study the properties of the entanglement spectrum in gapped non-interacting non-Hermitian systems, and its relation to the topological properties of the system Hamiltonian. Two different families of entanglement Hamiltonians can be…

Mesoscale and Nanoscale Physics · Physics 2020-01-06 Loïc Herviou , Nicolas Regnault , Jens H. Bardarson

We report an example of a many-body system, derived from the double kicked top (DKT), with non-chaotic yet mean-ergodic dynamics that displays \textit{strong} eigenstate thermalization hypothesis (ETH) in the quantum regime. The analysis…

Statistical Mechanics · Physics 2026-05-26 Avadhut V. Purohit , Harshit Sharma , Udaysinh T. Bhosale

Non-Hermitian systems, going beyond conventional Hermitian systems, have brought in intriguing concepts such as exceptional points and complex spectral topology as well as exotic phenomena such as non-Hermitian skin effects (NHSEs).…

Quantum Physics · Physics 2024-09-23 Li-Wei Wang , Jian-Hua Jiang

We discuss the emulation of non-Hermitian dynamics during a given time window by a low-dimensional quantum system coupled to a finite set of equidistant discrete states acting as an effective continuum. We first emulate the decay of an…

Quantum Physics · Physics 2025-02-05 Eloi Flament , François Impens , David Guéry-Odelin

We study the response of a thermal state of the Hubbard-like system to either global or local non-Hermitian perturbation, which coalesces the degenerate ground state within the $U(1)$ symmetry breaking phase. We show that the dynamical…

Strongly Correlated Electrons · Physics 2021-09-08 X. Z. Zhang , Z. Song

Utilizing scattering theory, we quantify the consequences of physical constraints that limit the visibility of non-Hermitian effects in passive devices. The constraints arise from the fundamental requirement that the system obeys causality,…

Optics · Physics 2023-12-15 Henning Schomerus

For non-Hermitian quantum models, the dynamics is apparently not reflected by the static properties, e.g., the complex energy spectrum, because of the nonorthogonality of the right eigenvectors, the nonunitarity of the time evolution, the…

Quantum Physics · Physics 2021-01-12 Li-Jun Lang , Yijiao Weng , Yunhui Zhang , Enhong Cheng , Qixia Liang

The single orbital, one-dimensional, Hatano-Nelson Hamiltonian provides deep insight into the physics of non-Hermiticity, resulting from asymmetric left/right hopping, and its connections to localization. In the absence of disorder, its…

Strongly Correlated Electrons · Physics 2026-04-17 Jonah Huang , Rubem Mondaini , Nancy Aggarwal , Richard Scalettar

We consider a simple analytically tractable model of metastability and ageing. In this model, a particle can jump left or right by two steps to an unoccupied site, but only if the the site in between is occupied. We show that the model is…

Statistical Mechanics · Physics 2008-02-03 Deepak Dhar

Interacting and open quantum systems can be formulated in terms of an effective non-Hermitian Hamiltonian (NHH), however, there are important constraints that must be satisfied by the effective action and the associated Green's functions.…

Quantum Physics · Physics 2026-05-22 Aaron Kleger , Rufus Boyack