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Imaginary gauge transformation (IGT) provides a clear understanding of the non-Hermitian skin effect by transforming the non-Hermitian Hamiltonians with real spectra into Hermitian ones. In this paper, we extend this approach to the complex…

Quantum Physics · Physics 2026-01-08 Yunyao Qi , Jinghui Pi , Yuquan Wu , Heng Lin , Chao Zheng , Gui-Lu Long

Quantum phase transitions induced by an external magnetic field in the Haldane-gapped spin-1 chains are studied in a fermionic field-theoretic description of the model. In the case with broken axial symmetry, two transitions occurs…

Strongly Correlated Electrons · Physics 2007-05-23 Y. -J. Wang

We report a global effect induced by the local complex field, associated with the spin-exchange interaction. High-order exceptional point up to ($N+1$)-level coalescence is created at the critical local complex field applied to the $N$-size…

Strongly Correlated Electrons · Physics 2020-06-03 X. Z. Zhang , L. Jin , Z. Song

A non-Hermitian system is characterized by the violation of energy conservation. As a result of unbalanced gain or loss in the forward and backward directions due to non-reciprocal couplings, the eigenmodes of such systems exhibit extreme…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 S M Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Ching Hua Lee , Mansoor B. A. Jalil

Inverse Anderson transitions, where the flat-band localization is destroyed by disorder, have been wildly investigated in quantum and classical systems in the presence of Abelian gauge fields. Here, we report the first investigation on…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 Weixuan Zhang , Haiteng Wang , Houjun Sun , Xiangdong Zhang

Gauge fields, real or synthetic, are crucial for understanding and manipulation of physical systems. The associated geometric phases can be measured, for example, from the Aharonov--Bohm interference. So far, real-space realizations of…

Unidirectional and robust transport is generally observed at the edge of two- or three-dimensional quantum Hall and topological insulator systems. A hallmark of these systems is topological protection, i.e. the existence of propagative edge…

Mesoscale and Nanoscale Physics · Physics 2016-01-15 Stefano Longhi , Davide Gatti , Giuseppe Della Valle

We study a non-Hermitian generalization of strongly correlated quantum systems in which the transfer energy of electrons is asymmetric. It is known that a non-Hermitian critical point is equal to the inverse localization length of a…

Strongly Correlated Electrons · Physics 2007-05-23 Yuichi Nakamura , Naomichi Hatano

We present a phase control method for a general three-mode system with closed-loop in coupling that drives the system into an entangled steady state and produces directional steering between two completely symmetric modes via quantum…

Quantum Physics · Physics 2019-03-06 Shasha Zheng , Fengxiao Sun , Yijie Lai , Qihuang Gong , Qiongyi He

A macroscopic effect can be induced by a local non-Hermitian term in a many-body system, when it manifests simultaneously level coalescence of a full real degeneracy spectrum, leading to exceptional spectrum. In this paper, we propose a…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Y. B. Shi , K. L. Zhang , Z. Song

We study a non-Hermitian version of XY closed chain with odd number of lattice sites. We consider both anti-ferromagnetic coupling and also a symmetric non-collinear spin coupling. It is found that the energy spectrum is real in certain…

Quantum Physics · Physics 2021-02-24 Shihao Bi , Yan He , Peng Li

We investigate the Hermitian and the non-Hermitian dynamics of the mode entanglement in two identical optical cavities coupled by a chiral mirror. By employing the non-Hermitian quantum evolution, we calculate the logarithmic negativity…

Quantum Physics · Physics 2014-11-21 Ali Ü. C. Hardal

We derive the response of non-Hermitian topological phases with intrinsic point gap topology to localized magnetic flux insertions. In two spatial dimensions, we identify the necessary and sufficient conditions for a flux skin effect that…

Mesoscale and Nanoscale Physics · Physics 2023-09-04 M. Michael Denner , Frank Schindler

We develop a manifest non-Hermitian approach of spectral and transport properties of two- dimensional mesoscopic systems in strong magnetic field. The finite system to which several ter- minals are attached constitutes an open system that…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 B. Ostahie , M. Nita , A. Aldea

We study the one-dimensional nonreciprocal lattices with real nearest neighboring hopping and find that the energy spectra under open boundary conditions can be entirely real or imaginary. We further investigate the spectral properties and…

Quantum Physics · Physics 2022-06-15 Qi-Bo Zeng , Rong Lü

A conventional quantum phase transition (QPT) can be accessed by varying a real parameter at absolute zero temperature. Motivated by the discovery of the pseudo-Hermiticity of non-Hermitian systems, we explore the QPT in non-Hermitian…

Quantum Physics · Physics 2014-07-16 C. Li , G. Zhang , X. Z. Zhang , Z. Song

There has been great interest in realizing quantum simulators of charged particles in artificial gauge fields. Here, we perform the first quantum simulation explorations of the combination of artificial gauge fields and disorder. Using…

Quantum Gases · Physics 2018-08-22 Fangzhao Alex An , Eric J. Meier , Bryce Gadway

We investigate a parity-time (PT) symmetric system that consists of two symmetrically coupled asymmetric dimers. The enclosed magnetic flux controls the PT phase transition. The system can reenter the exact PT-symmetric phase from a broken…

Optics · Physics 2018-09-28 L. Jin

We study the possibility of asymmetric transmission induced by a non-Hermitian scattering center embedded in a one-dimensional waveguide, motivated by the aim of realizing quantum diode in a non-Hermitian system. It is shown that a…

Quantum Physics · Physics 2015-03-04 X. Q. Li , X. Z. Zhang , G. Zhang , Z. Song

Searching for Anderson localization of light in three dimensions has challenged experimental and theoretical research for the last decades. Here the problem is analyzed through large scale numerical simulations, using a radiative…

Mesoscale and Nanoscale Physics · Physics 2023-12-21 Giuseppe Luca Celardo , Mattia Angeli , Francesco Mattiotti , Robin Kaiser