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PT-symmetric systems can have a real spectrum even when their Hamiltonian is non-hermitian, but develop a complex spectrum when the degree of non-hermiticity increases. Here we utilize random-matrix theory to show that this spontaneous…

Quantum Physics · Physics 2011-06-24 Henning Schomerus

The problem of finding of the ferromagnetic and antiferromagnetic "symmetry broken" solutions of the correlated lattice fermion models beyond the mean-field approximation has been investigated. The calculation of the quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 A. L. Kuzemsky

Non-Hermitian quantum systems, characterized by their ability to model open systems with gain and loss, have unveiled striking phenomena such as the non-Hermitian skin effect (NHSE), where eigenstates localize at boundaries under open…

Strongly Correlated Electrons · Physics 2026-01-06 Chakradhar Rangi , Juana Moreno , Ka-Ming Tam

We present a microscopic theory for magnetization relaxation in metallic ferromagnets of nanoscopic dimensions that is based on the dynamic spin response matrix in the presence of spin-orbit coupling. Our approach allows the calculation of…

Mesoscale and Nanoscale Physics · Physics 2015-02-10 A. T. Costa , R. B. Muniz

Non-Hermitian dynamics in open systems can give rise to a variety of fascinating non-equilibrium phenomena, ranging from symmetry-breaking transitions to directional energy flow. Parity-time (PT) symmetry breaking determines the occurrence…

In this paper, we investigate the spin and tunneling dynamics of a spin-orbit-coupled noninteracting Bose-Einstein condensate in a periodically driven non-Hermitian double-well potential. Under high-frequency driving, we obtain the…

Quantum Gases · Physics 2023-01-04 Jia Tang , Zhou Hu , Zhao-Yun Zeng , Jinpeng Xiao , Lei Li , Yajiang Chen , Ai-Xi Chen , Xiaobing Luo

We study the pairing of fermions by an interaction consisting of a Hubbard repulsion, mimicking a screened Coulomb potential, and a dynamical phonon-mediated attraction. For such interaction, the gap equation allows even- and odd-frequency…

Superconductivity · Physics 2022-09-28 Dimitri Pimenov , Andrey V. Chubukov

We present a minimal non-Hermitian model where a topologically nontrivial complex energy spectrum is induced by inter-particle interactions. Our model consists of a one-dimensional chain with a dynamical non-Hermitian gauge field with…

Quantum Physics · Physics 2023-03-23 William N Faugno , Tomoki Ozawa

This work studies a $\mathcal{PT}$-symmetric non-Hermitian spin--boson model, consisting of a non-Hermitian two-level system coupled to a continuous bosonic bath. The static properties of the system are analyzed through a projection method…

Quantum Physics · Physics 2025-12-24 Yong-Xin Zhang , Qing-Hu Chen

We discuss the phase diagram and properties of global vortices in the non-Hermitian parity-time-symmetric relativistic model possessing two interacting scalar complex fields. The phase diagram contains stable PT-symmetric regions and…

High Energy Physics - Theory · Physics 2021-10-01 A. M. Begun , M. N. Chernodub , A. V. Molochkov

The one-dimensional Hatano-Nelson model with non-reciprocal hoppings is a prominent example of a relatively simple non-Hermitian quantum-mechanical system, which allows to study various phenomena in open quantum systems without adding extra…

Strongly Correlated Electrons · Physics 2025-09-11 Eduard Naichuk , Ilya M. Eremin , Jeroen van den Brink , Flavio S. Nogueira

Using an effective Hamiltonian including the Zeeman and internal interactions, we describe the quantum theory of magnetization dynamics when the spin system evolves non-adiabatically and out of equilibrium. The Lewis-Riesenfeld dynamical…

Other Condensed Matter · Physics 2008-11-26 F. M. Saradzhev , F. C. Khanna , Sang Pyo Kim , M. de Montigny

The investigations of the spectral and dynamical delocalization-localization (DL) transition have revealed intriguing features in a wide range of non-Hermitian systems. The present study aims at exploring the spectral and dynamical…

Disordered Systems and Neural Networks · Physics 2023-03-08 Aditi Chakrabarty , Sanjoy Datta

We study the damping dynamics of the single-particle correlation for an open system under periodic and aperiodic order, which is dominated by the Lindblad master equation. In the absence of the aperiodic order, the Liouvillian superoperator…

Quantum Gases · Physics 2022-02-21 Peng He , Yu-Guo Liu , Jian-Te Wang , Shi-Liang Zhu

Real-to-complex spectral transitions and the associated spontaneous symmetry breaking of eigenstates are central to non-Hermitian physics, yet a comprehensive and universal theory that precisely describes the underlying physical mechanisms…

Quantum Physics · Physics 2025-06-23 Zhuo-Ting Cai , Hai-Dong Li , Wei Chen

In this work, we readdress the Dirac equation in the position-dependent mass (PDM) scenario. Here, one investigates the quantum dynamics of non-Hermitian fermionic particles with effective mass assuming a $(1+1)$-dimension flat spacetime.…

Quantum Physics · Physics 2023-03-22 F. C. E. Lima , L. N. Monteiro , C. A. S. Almeida

We consider the quantum nonequilibrium dynamics of systems where fermionic particles coherently hop on a one-dimensional lattice and are subject to dissipative processes analogous to those of classical reaction-diffusion models. Particles…

Statistical Mechanics · Physics 2023-05-31 Gabriele Perfetto , Federico Carollo , Juan P. Garrahan , Igor Lesanovsky

A non-Hermitian PT-symmetric version of the kicked top is introduced to study the interplay of quantum chaos with balanced loss and gain. The classical dynamics arising from the quantum dynamics of the angular momentum expectation values…

Quantum Physics · Physics 2021-01-15 Steve Mudute-Ndumbe , Eva-Maria Graefe

Real-time dynamics of strongly correlated systems, in particular its critical dynamics near phase transitions, have been always on the cutting edge of studies in diverse fields of physics, e.g., high energy physics, condensed matter,…

High Energy Physics - Theory · Physics 2025-03-27 Yang-yang Tan , Yong-rui Chen , Wei-jie Fu , Wei-Jia Li

We consider a two-level system such as a two-level atom, interacting with a cavity field mode in the rotating wave approximation, when the atomic transition frequency or the field mode frequency is periodically driven in time. We show that…