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We introduce creation and annihilation operators of pseudo-Hermitian fermions for two-level systems described by pseudo-Hermitian Hamiltonian with real eigenvalues. This allows the generalization of the fermionic coherent states approach to…

Quantum Physics · Physics 2009-11-13 O. Cherbal , M. Drir , M. Maamache , D. A. Trifonov

It is know that PT-symmetric models have real spectra provided the symmetry is not spontaneously broken. Even pseudo-hermitian models have real spectra, which enlarge the the class of non-hermitian models possessing real spectra. We however…

High Energy Physics - Theory · Physics 2008-11-18 Pulak Ranjan Giri

In the long-time limit, an open quantum system coupled to a dissipative environment is believed to lose its coherence without driving or measurement. Counterintuitively, we provide a necessary condition on trapping the coherence of a…

Quantum Physics · Physics 2022-09-07 Jia-Ming Zhang , Bing Chen , Jun Jing

We report an unusual buildup of the quantum coherence in a qubit subjected to non-Hermitian evolution generated by a Parity-Time ($\mathcal{PT}$) symmetric Hamiltonian, which is reinterpreted as a Hermitian system in a higher dimensional…

Quantum Physics · Physics 2021-06-14 Javid Naikoo , Swati Kumari , A. K. Pan , Subhashish Banerjee

The ability to live in coherent superpositions is a signature trait of quantum systems and constitutes an irreplaceable resource for quantum-enhanced technologies. However, decoherence effects usually destroy quantum superpositions. It has…

We present a theoretical study of noise-induced quantum coherences in a model three-level V-type system interacting with incoherent radiation, an important prototype for a wide range of physical systems ranging from trapped ions to…

Chemical Physics · Physics 2015-06-19 Timur V. Tscherbul , Paul Brumer

We use the Gazeau-Klauder formalism to construct coherent states of non-Hermitian quantum systems. In particular we use this formalism to construct coherent state of a PT symmetric system. We also discuss construction of coherent states…

Quantum Physics · Physics 2009-11-13 B. Roy , P. Roy

The observation that PT-symmetric Hamiltonians can have real-valued energy levels even if they are non-Hermitian has triggered intense activities, with experiments, in particular, focusing on optical systems, where Hermiticity can be broken…

Quantum Physics · Physics 2010-06-10 Henning Schomerus

In quantum computation, it is of paramount importance to locate the parameter space where maximal coherence can be preserved in the qubit system. In recent years environment-induced decoherence based the quantum Brownian motion (QBM) models…

Quantum Physics · Physics 2015-06-26 B. L. Hu

We show that a quantum system possessing an exact antilinear symmetry, in particular PT-symmetry, is equivalent to a quantum system having a Hermitian Hamiltonian. We construct the unitary operator relating an arbitrary non-Hermitian…

Quantum Physics · Physics 2008-11-26 Ali Mostafazadeh

Decoherence and non-Hermiticity are two different effects of the open quantum systems. Both of them have triggered many interesting phenomena. In this paper, we theoretically study an open two-level non-Hermitian system coupling to a…

Quantum Physics · Physics 2022-05-31 Jian Xu , Youneng Guo

To protect a quantum system from decoherence due to interaction with its environment, we investigate the existence of initial states of the environment allowing for decoherence-free evolution of the system. For models in which a two-state…

Quantum Physics · Physics 2010-01-19 Olivier Landon-Cardinal , Richard MacKenzie

Quantum sensing utilizing unique quantum properties of non-Hermitian systems to realize ultra-precision measurements has been attracting increasing attention. However, the debate on whether non-Hermitian systems are superior to Hermitian…

Quantum Physics · Physics 2023-12-14 Yan-Yi Wang , Chun-Wang Wu , Wei Wu , Ping-Xing Chen

We demonstrate that quantum coherence can be generated by the interplay of coupling to an incoherent environment and kinetic processes. This joint effect even occurs in a repulsively interacting fermionic system initially prepared in an…

Strongly Correlated Electrons · Physics 2013-12-17 Jean-Sebastien Bernier , Peter Barmettler , Dario Poletti , Corinna Kollath

Quantum sensing near exceptional points (EPs) in non-Hermitian systems has shown promising sensitivity enhancements. However, practical applications are often hindered by structural complexity and strict parameter constraints. In this work,…

Quantum Physics · Physics 2026-02-27 Hao-Wen Zhang , Dong-Yang Wang , Cheng-Hua Bai , Tian-Xiang Lu , Shi-Lei Su

Within CPT-symmetric quantum mechanics the most elementary differential form of the charge operator C is assumed. A closed-form integrability of the related coupled differential self-consistency conditions and a natural embedding of the…

Mathematical Physics · Physics 2009-05-18 Emanuela Caliceti , Francesco Cannata , Miloslav Znojil , Alberto Ventura

We show that and how point interactions offer one of the most suitable guides towards a quantitative analysis of properties of certain specific non-Hermitian (usually called PT-symmetric) quantum-mechanical systems. A double-well model is…

Quantum Physics · Physics 2008-11-26 Miloslav Znojil , Vit Jakubsky

Local quantum coherence in a two-level system (TLS) is typically generated via time-dependent driving. However, it can also emerge autonomously from symmetry-breaking interactions between the TLS and its surrounding environment at a low…

Quantum Physics · Physics 2025-11-07 Yehor Hudenko , Michal Kolář , Radim Filip , Artem Ryabov

In this work, we study the dynamics of quantum coherence (total coherence, global coherence and local coherence) evolving under a local PT-symmetric Hamiltonian in maximally entangled bipartite and tripartite states. Our results indicate…

Quantum Physics · Physics 2024-11-07 Akanksha Gautam , Kavita Dorai , Arvind

Dissipation in open systems enriches the possible symmetries of the Hamiltonians beyond the Hermitian framework allowing the possibility of novel non-Hermitian topological phases, which exhibit long-living end states that are protected…

Quantum Physics · Physics 2023-04-05 Wojciech Brzezicki , Matti Silveri , Marcin Płodzień , Francesco Massel , Timo Hyart