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Understanding inter-site mutual mode interaction in coupled physical systems is essential to comprehend large compound systems as this local interaction determines the successive multiple inter-site energy transfer efficiency. We…

. We study the statistical properties of the eigenvalues of non-Hermitian operators assoicated with the dissipative complex systems. By considering the Gaussian ensembles of such operators, a hierarchical relation between the correlators is…

统计力学 · 物理学 2024-12-11 Pragya Shukla

Symmetry-driven wave physics in open systems, exemplified by parity-time (PT) symmetry, has extended the landscape of crystalline phases in materials science to include gain-loss media. Given the growing interest in engineering disorder for…

Non-orthogonal eigenstates are a fundamental feature of non-Hermitian systems and are accompanied by the emergence of nontrivial features. However, the platforms to explore non-Hermitian mode couplings mainly measure near-field effects, and…

Non-Hermitian singularities are ubiquitous in non-conservative open systems. These singularities are often points of measure zero in the eigenspectrum of the system which make them difficult to access without careful engineering. Despite…

量子物理 · 物理学 2018-05-24 Qi Zhong , Mercedeh Khajavikhan , Demetrios Christodoulides , Ramy El-Ganainy

Transmission through disordered samples can be controlled by illuminating a sample with waveforms corresponding to the eigenchannels of the transmission matrix. But can the TM be exploited to selectively excite quasi-normal modes and so…

经典物理 · 物理学 2018-11-21 Matthieu Davy , Azriel Z. Genack

The Hamilton operator of an open quantum system is non-Hermitian. Its eigenvalues are, generally, complex and provide not only the energies but also the lifetimes of the states of the system. The states may couple via the common environment…

量子物理 · 物理学 2017-02-17 Hichem Eleuch , Ingrid Rotter

We consider an open (scattering) quantum system under the action of a perturbation of its closed counterpart. It is demonstrated that the resulting shift of resonance widths is a sensitive indicator of the non-orthogonality of resonance…

介观与纳米尺度物理 · 物理学 2012-05-04 Y. V. Fyodorov , D. V. Savin

Non-Hermitian physics is responsible for many of the counter-intuitive effects observed in optics research opening up new possibilities in sensing, polarization control and measurement. A hallmark of non-Hermitian matrices is the…

We consider different properties of small open quantum systems coupled to an environment and described by a non-Hermitian Hamilton operator. Of special interest is the non-analytical behavior of the eigenvalues in the vicinity of singular…

量子物理 · 物理学 2015-04-15 Hichem Eleuch , Ingrid Rotter

Using an approach to open quantum systems based on the effective non-Hermitian Hamiltonian, we fully describe transport properties for a paradigmatic model of a coherent quantum transmitter: a finite sequence of square potential barriers.…

介观与纳米尺度物理 · 物理学 2014-03-31 G. L. Celardo , A. M. Smith , S. Sorathia , V. G. Zelevinsky , R. A. Sen'kov , L. Kaplan

Loss-induced transmission in waveguides, and reversed pump dependence in lasers, are two prominent examples of counter-intuitive effects in non-Hermitian systems with patterned gain and loss. By analyzing the eigenvalue dynamics of complex…

光学 · 物理学 2016-11-03 Alexander Cerjan , Shanhui Fan

Non-Hermitian topological systems have attracted a lot of research activities in recent times, both theoretically and experimentally, due to their unique physical properties and association with open quantum systems. We show that modular…

量子物理 · 物理学 2026-05-29 Saubhik Sarkar , Chiranjib Mukhopadhyay , Abolfazl Bayat

Describing open quantum systems in terms of effective non-Hermitian Hamiltonians gives rise to non-unitary time evolution. In this paper, we study the impact of non-unitary dynamics on the emergent hydrodynamics in quantum systems with a…

统计力学 · 物理学 2024-10-10 Dylan E. Mahoney , Jonas Richter

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…

应用物理 · 物理学 2024-04-18 Youcai Han , Changhao Meng , Zejin Rao , Jie Qian , Yiming Lv , Liping Zhu , CanMing Hu , Zhenghua An

Recently, it has been shown that the change of resonance widths in an open system under a perturbation of its interior is a sensitive indicator of the nonorthogonality of resonance states. We apply this measure to quantify parametric motion…

量子物理 · 物理学 2013-12-19 D. V. Savin , J. -B. De Vaulx

The non-Hermitian Hamiltonian describes the effective dynamics of a system coupled to a continuously measured bath, and can exhibit anti-unitary symmetries that give rise to exceptional points and broken phases with complex eigenvalues,…

量子物理 · 物理学 2025-12-23 Sejal Ahuja , Keshav Das Agarwal , Aditi Sen De

Wave turbulence describes the long-time statistical behavior of out-of-equilibrium systems composed of weakly interacting waves. Non-Hermitian media ranging from open quantum systems to active materials can sustain wave propagation in…

流体动力学 · 物理学 2025-04-23 Xander M. de Wit , Sébastien Galtier , Michel Fruchart , Federico Toschi , Vincenzo Vitelli

Dynamic and steady state aspects of wave propagation are deeply connected in lossless open systems in which the scattering matrix is unitary. There is then an equivalence among the energy excited within the medium, the Wigner time delay,…

无序系统与神经网络 · 物理学 2021-06-25 Yiming Huang , Yuhao Kang , Azriel Z. Genack

An open system is not conservative because energy can escape to the outside. An open system by itself is thus not conservative. As a result, the time-evolution operator is not hermitian in the usual sense and the eigenfunctions (factorized…

广义相对论与量子宇宙学 · 物理学 2008-11-26 E. S. C. Ching , P. T. Leung , W. M. Suen , S. S. Tong , K. Young
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