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The bulk-boundary correspondence predicts the existence of boundary modes localized at the edges of topologically nontrivial systems. The wavefunctions of hermitian boundary modes can be obtained as the eigenmodes of a modified Jackiw-Rebbi…

高能物理 - 理论 · 物理学 2026-02-16 Pasquale Marra , Angela Nigro

Non-Hermitian optics, mostly known as 'Parity-time symmetric optics', is considered as one of the frontiers areas of research in optical sciences at present. This area is largely inspired by the so-called non-Hermitian quantum physics.…

科普物理 · 物理学 2018-10-25 Amarendra K. Sarma

Canonical quantum mechanics postulates Hermitian Hamiltonians to ensure real eigenvalues. Counterintuitively, a non-Hermitian Hamiltonian, satisfying combined parity-time (PT) symmetry, could display entirely real spectra above some…

光学 · 物理学 2025-01-23 Jianming Wen , Xiaoshun Jiang , Liang Jiang , Min Xiao

Polarization of photons plays a key role in quantum optics and light-matter interactions, however, it is difficult to control in nanosystems since the eigenstate of a nanophotonic cavity is usually fixed and linearly polarized. Here we…

We investigate a two-parametric family of one-dimensional non-Hermitian complex potentials with parity-time ($\mathcal{PT}$) symmetry. We find that there exist two distinct types of phase transitions, from an unbroken phase (characterized…

量子物理 · 物理学 2025-11-13 Jinlin Fan , Feilong Wang , Ruolin Chai Zhibin Zhao , Qiongtao Xie

Following up on previous studies on parity-time-symmetric gain-loss bi-layers, and inspired by formal analogies with plasmonic waveguides, we study non-Hermiticity-induced wave confinement and guiding phenomena that can occur in…

光学 · 物理学 2016-11-02 Silvio Savoia , Giuseppe Castaldi , Vincenzo Galdi

We develop a complete theory of symmetry and topology in non-Hermitian physics. We demonstrate that non-Hermiticity ramifies the celebrated Altland-Zirnbauer symmetry classification for insulators and superconductors. In particular, charge…

介观与纳米尺度物理 · 物理学 2019-10-23 Kohei Kawabata , Ken Shiozaki , Masahito Ueda , Masatoshi Sato

The exotic physics emerging in non-Hermitian systems with balanced distributions of gain and loss has drawn a great deal of attention in recent years. These systems exhibit phase transitions and exceptional point singularities in their…

光学 · 物理学 2021-03-17 Arik Bergman , Robert Duggan , Kavita Sharma , Moshe Tur , Avi Zadok , Andrea Alu

Parafermion zero modes can arise in hybrid structures composed of $\nu=1/m$ fractional quantum Hall edges proximitized with an s-wave superconductor. Here we consider parafermion and Cooper pair tunneling, and backscattering in a junction…

强关联电子 · 物理学 2024-04-09 Junyi Cao , Angela Kou , Eduardo Fradkin

In this work we first show a simple approach to constructing non-Hermitian Hamiltonians with a real spectrum, which are \textit{not} obtained by a non-unitary transformation such as the imaginary gauge transformation. They are given,…

量子物理 · 物理学 2024-03-18 Li Ge

We experimentally demonstrate PT-symmetric optical lattices with periodical gain and loss profiles in a coherently-prepared four-level N-type atomic system. By appropriately tuning the pertinent atomic parameters, the onset of PT-symmetry…

Bloch-Zener oscillations (BZO), i.e. the interplay between Bloch oscillations and Zener tunneling in two-band lattices under an external dc force, are ubiquitous in different areas of wave physics, including photonics. While in Hermitian…

量子物理 · 物理学 2022-12-21 Stefano Longhi

There are a large number of systems characterized by a completely broken gauge symmetry, but with an unbroken global color-flavor diagonal symmetry, i.e., systems in the so-called color-flavor locked phase. If the gauge symmetry breaking…

高能物理 - 理论 · 物理学 2012-09-13 Kenichi Konishi , Muneto Nitta , Walter Vinci

We demonstrate the existence of topologically nontrivial phase in a one-dimensional fermionic lattice system subjected to synthetic gauge fields, which is beyond the standard Altland-Zirnbauer classification of topological insulators. The…

强关联电子 · 物理学 2015-03-18 Linhu Li , Shu Chen

Non-Hermitian Hamiltonians capture several aspects of open quantum systems, such as dissipation of energy and non-unitary evolution. An example is an optical lattice where the inelastic scattering between the two orbital mobile atoms in…

强关联电子 · 物理学 2026-04-08 Pradip Kattel , Abay Zhakenov , Parameshwar R. Pasnoori , Patrick Azaria , Natan Andrei

Spontaneous symmetry breaking is studied within a simple version of the light-front sigma model with fermions. Its vacuum structure is derived by an implementation of global symmetries in terms of unitary operators in a finite volume with…

高能物理 - 理论 · 物理学 2011-07-19 L. Martinovic , J. P. Vary

Topological photonics started out as a pursuit to engineer systems that mimic fermionic single-particle Hamiltonians with symmetry-protected modes, whose number can only change in spectral phase transitions such as band inversions. The…

光学 · 物理学 2018-06-29 Simon Malzard , Henning Schomerus

We devise a number-conserving scheme for the realization of Majorana Zero Modes in an interacting fermionic ladder coupled by Aharonov-Bohm cages. The latter provide an efficient mechanism to cancel single-particle hopping by destructive…

量子气体 · 物理学 2023-02-01 Niklas Tausendpfund , Sebastian Diehl , Matteo Rizzi

Over the last two decades, advances in fabrication have led to significant progress in creating patterned heterostructures that support either carriers, such as electrons or holes, with specific band structure or electromagnetic waves with…

光学 · 物理学 2013-09-09 Yogesh N. Joglekar , Clinton Thompson , Derek D. Scott , Gautam Vemuri

The coherence and correlation properties of effective bosonic modes of a nano-mechanical cavity composed of an oscillating mirror and containing an optical lattice of regularly trapped atoms are studied. The system is modeled as a…

量子物理 · 物理学 2013-05-30 Li-hui Sun , Gao-xiang Li , Zbigniew Ficek