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Typically, energy levels change without bifurcating in response to a change of a control parameter. Bifurcations can lead to loops or swallowtails in the energy spectrum. The simplest quantum Hamiltonian that supports swallowtails is a…

Quantum Gases · Physics 2020-11-25 Q. Guan , M. K. H. Ome , T. M. Bersano , S. Mossman , P. Engels , D. Blume

We address the breakdown of the bulk-boundary correspondence observed in non-Hermitian systems, where open and periodic systems can have distinct phase diagrams. The correspondence can be completely restored by considering the Hamiltonian's…

Mesoscale and Nanoscale Physics · Physics 2019-05-24 Loic Herviou , Jens H. Bardarson , Nicolas Regnault

The Hatano-Nelson model is one of the most prototypical non-Hermitian models that exhibit the intrinsic non-Hermitian topological phases and the concomitant skin effect. These phenomena unique to non-Hermitian topological systems originate…

Strongly Correlated Electrons · Physics 2023-09-19 Taozhi Guo , Kohei Kawabata , Ryota Nakai , Shinsei Ryu

The ordinary time-dependent perturbation theory of quantum mechanics, that describes the interaction of a stationary system with a time-dependent perturbation, predicts that the transition probabilities induced by the perturbation are…

Quantum Physics · Physics 2017-10-11 S. Longhi , G. Della Valle

Non-Hermitian effects could trigger spectrum, localization and topological phase transitions in quasiperiodic lattices. We propose a non-Hermitian extension of the Maryland model, which forms a paradigm in the study of localization and…

Quantum Physics · Physics 2022-01-13 Longwen Zhou , Yongjian Gu

In this paper we present a model exhibiting a new type of continuous-time quantum walk (as a quantum mechanical transport process) on networks, which is described by a non-Hermitian Hamiltonian possessing a real spectrum. We call it…

Quantum Physics · Physics 2015-05-13 S. Salimi , A. Sorouri

Non-reciprocity is an important topic in fundamental physics and quantum-device design, as much effort has been devoted to its engineering and manipulation. Here we experimentally demonstrate non-reciprocal transport in a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Quan Lin , Wei Yi , Peng Xue

We present an asymptotically exact solution of a paradigmatic non-Hermitian model: the disordered interacting fermionic Hatano-Nelson model, or equivalently, the non-Hermitian spin-1/2 XXZ model. We use a renormalization group method suited…

Strongly Correlated Electrons · Physics 2025-09-23 Valéria M. Mattiello , Victor L. Quito , Eduardo Miranda

In a closed single-particle quantum system, spatial disorder induces Anderson localization of eigenstates and halts wave propagation. The phenomenon is vulnerable to interaction with environment and decoherence, that is believed to restore…

Disordered Systems and Neural Networks · Physics 2018-01-17 I. I. Yusipov , T. V. Laptyeva , M. V. Ivanchenko

We study the quantum localization phenomena of noninteracting particles in one-dimensional lattices based on tight-binding models with various forms of hopping terms beyond the nearest neighbor, which are generalizations of the famous…

Disordered Systems and Neural Networks · Physics 2011-02-16 J. Biddle , D. J. Priour , B. Wang , S. Das Sarma

In this work, we investigate numerically the transport properties of a 2D complex plasma crystal using diffusion of coplanar dust lattice waves. In the limit where the Hamiltonian interactions can be decoupled from the non-Hamiltonian…

Plasma Physics · Physics 2018-01-04 E G Kostadinova , A Cameron , F Guyton , K Busse , C D Liaw , L S Matthews , T W Hyde

Recent microfluidic experiments revealed that large particles advected in a fluidic loop display long-range hydrodynamic interactions. However, the consequences of such couplings on the traffic dynamics in more complex networks remain…

Soft Condensed Matter · Physics 2015-05-30 Raphaël Jeanneret , Julien Piera-Vest , Denis Bartolo

Open quantum systems described by a non-Hermitian Hamiltonian exhibit rich dynamics due to the topology of their complex energy spectrum. By encircling an exceptional point degeneracy, this topology allows for topological state transport,…

Quantum Physics · Physics 2026-02-25 Serra Erdamar , Maryam Abbasi , Weijian Chen , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch

Local constraint in the lattice gauge theory provides an exotic mechanism that facilitates the disorder-free localization. However, the understanding of nonequilibrium dynamics in the non-Hermitian lattice gauge model remains limited. Here,…

Disordered Systems and Neural Networks · Physics 2024-02-22 Jun-Qing Cheng , Shuai Yin , Dao-Xin Yao

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

By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multidimensional quantum chaos. Parallel numerical simulations and analytic theory demonstrate that the interplay between nonlinearity and…

Disordered Systems and Neural Networks · Physics 2013-01-23 D. S. Brambila , A. Fratalocchi

Capital to topological insulators, the bulk-boundary correspondence ties a topological invariant computed from the bulk (extended) states with those at the boundary, which are hence robust to disorder. Here we put forward an ordering unique…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 V. M. Martinez Alvarez , J. E. Barrios Vargas , L. E. F. Foa Torres

Gravitational waves from neutron-star and black-hole binaries carry valuable information on their physical properties and probe physics inaccessible to the laboratory. Although development of black-hole gravitational-wave templates in the…

General Relativity and Quantum Cosmology · Physics 2014-10-30 Charalampos M. Markakis

Manipulation of wave propagation through open resonant systems has attracted tremendous interest. When accessible to the open system, the system under study is prone to tempering to out of equilibrium, and a lack of reciprocity is the rule…

Applied Physics · Physics 2024-04-18 Youcai Han , Changhao Meng , Zejin Rao , Jie Qian , Yiming Lv , Liping Zhu , CanMing Hu , Zhenghua An

Quantum teleportation is studied in noninertial frame, for fermionic case, when Alice and Bob share a general nonclassical correlated state. In noninertial frames two fidelities of teleportation are given. It is found that the average…

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