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Quasi-particles described by Green's functions of equilibrium systems exhibit non-Hermitian topological phenomena because of their finite lifetime. This non-Hermitian perspective on equilibrium systems provides new insights into correlated…

Strongly Correlated Electrons · Physics 2020-07-28 Tsuneya Yoshida , Robert Peters , Norio Kawakami , Yasuhiro Hatsugai

We introduce a new distance-based measure for the nonclassicality of the states of a bosonic field, which outperforms the existing such measures in several ways. We define for that purpose the operator ordering sensitivity of the state…

Quantum Physics · Physics 2019-03-04 Stephan De Bievre , Dmitri B. Horoshko , Giuseppe Patera , Mikhail I. Kolobov

We study the superconducting proximity effect in inhomogeneous systems in which a disordered or quasicrystalline normal-state wire is connected to a BCS superconductor. We self-consistently compute the local superconducting order parameters…

Superconductivity · Physics 2020-11-04 Gautam Rai , Stephan Haas , Anuradha Jagannathan

The paramagnetic properties in non-centrosymmetric superconductors with and without antiferromagnetic (AFM) order are investigated with focus on the heavy Fermion superconductors, CePt_3Si, CeRhSi_3 and CeIrSi_3. First, we investigate the…

Superconductivity · Physics 2009-11-13 Youichi Yanase , Manfred Sigrist

In non-Hermitian systems, it is a counterintuitive feature of the non-Hermitian skin effect (NHSE) that the energy spectrum and eigenstates can be totally different under open or periodic boundary conditions, suggesting that non-Hermitian…

Quantum Physics · Physics 2024-10-31 Fei Song , Hong-Yi Wang , Zhong Wang

A spin-flip potential $V$ is introduced in a BCS Hamiltonian in order to study a possible thermodynamic effect that might be caused by the addition of a magnetic impurity in a superconductor. We found that the competition between the…

Statistical Mechanics · Physics 2019-09-04 Octavio D. Rodriguez Salmon , Igor Tavares Padilha , Francisco Dinóla Neto

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

We study a two-band Hubbard model in the limit of infinite dimensions, using a combination of analytical methods and Monte-Carlo techniques. The normal state is found to display various metal to insulators transitions as a function of…

Condensed Matter · Physics 2009-10-22 Antoine Georges , Gabriel Kotliar , Werner Krauth

We discuss the time evolution of physical finite dimensional systems which are modelled by non-hermitian Hamiltonians. We address both general non-hermitian Hamiltonians and pseudo-hermitian ones. We apply the theory of Krein Spaces to…

Mathematical Physics · Physics 2019-01-30 R. Ramirez , M. Reboiro

Heavy fermions have served as prototype examples of strongly-correlated electron systems. The occurrence of unconventional superconductivity in close proximity to the electronic instabilities associated with various degrees of freedom…

Superconductivity · Physics 2016-08-18 Z. F. Weng , M. Smidman , L. Jiao , X. Lu , H. Q. Yuan

We study a non-interacting quantum particle, moving on a one-dimensional lattice, which is subjected to repetitive measurements. We investigate the consequence when such motion is interrupted and restarted from the same initial…

Quantum Physics · Physics 2023-03-21 Ranjan Modak , S. Aravinda

A recent development in studies of random non-Hermitian quantum systems is reviewed. Delocalization was found to occur under a sufficiently large constant imaginary vector potential even in one and two dimensions. The phenomenon has a…

Statistical Mechanics · Physics 2015-06-25 Naomichi Hatano

Nonlinear responses in condensed matter are intensively studied because they provide rich information about materials and hold the possibility of being applied in diodes or high-frequency optical devices. While nonlinear responses in…

Strongly Correlated Electrons · Physics 2021-05-26 Yoshihiro Michishita , Robert Peters

Exploring topological phases in non-Hermitian systems has attracted significant recent attention. One intriguing question is how topological edge states compete with the non-Hermitian skin effect. Here, we report the experimental…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Chan Tang , Huanhuan Yang , Lingling Song , Xianglong Yao , Peng Yan , Yunshan Cao

We develop the perturbation theory of the fidelity susceptibility in biorthogonal bases for arbitrary interacting non-Hermitian many-body systems with real eigenvalues. The quantum criticality in the non-Hermitian transverse field Ising…

Strongly Correlated Electrons · Physics 2023-02-28 Gaoyong Sun , Jia-Chen Tang , Su-Peng Kou

The quasiclassical theory of superconductivity provides a methodology to study emergent phenomena in hybrid structures comprised of superconductors interfaced with other materials. A key component in this theory is the boundary condition…

Superconductivity · Physics 2022-11-09 Jacob Linder , Morten Amundsen

In this work, we discuss a non-Hermitian system described via a one-dimensional single-particle tight-binding model, where the non-Hermiticity is governed by random nearest-neighbour tunnellings, such that the left-to-right and…

Disordered Systems and Neural Networks · Physics 2026-01-19 Aitijhya Saha , Debraj Rakshit

We describe a class of spin chains with new physical and computational properties. On the physical side, the spin chains give examples of symmetry-protected topological phases that are defined by non-onsite symmetries, i.e. symmetries that…

Quantum Physics · Physics 2025-05-13 David T. Stephen

The topology of non-Hermitian systems is fundamentally changed by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence. Based on the non-Bloch band theory, we get insight into the interplay between the…

Superconductivity · Physics 2024-03-28 Xaing Ji , Wenchen Ding , Yuanping Chen , Xiaosen Yang

We provide time-evolution operators, gauge transformations and a perturbative treatment for non-Hermitian Hamiltonian systems, which are explicitly time-dependent. We determine various new equivalence pairs for Hermitian and non-Hermitian…

Quantum Physics · Physics 2009-11-13 Carla Figueira de Morisson Faria , Andreas Fring