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We study spontaneous symmetry breaking in a one-dimensional driven two-species stochastic cellular automaton with parallel sublattice update and open boundaries. The dynamics are symmetric with respect to interchange of particles. Starting…

统计力学 · 物理学 2009-11-11 Stefan Grosskinsky , Gunter M. Schutz , Richard D. Willmann

Ensembles of quantum chaotic systems are expected to exhibit energy eigenvalues with random-matrix-like level repulsion between pairs of energies separated by less than the inverse Thouless time. Recent research has shown that exact and…

统计力学 · 物理学 2022-04-06 Michael Winer , Brian Swingle

We show that complex PT-symmetric photonic lattices can lead to a new class of self-imaging Talbot effects. For this to occur, we find that the input field pattern, has to respect specific periodicities which are dictated by the symmetries…

We show that the analogue of the geometric phase for non-Hermitian coupled waveguides with PT-symmetry and at least one periodically varying parameter can be purely imaginary, and will consequently result in the manifestation of an…

光学 · 物理学 2018-11-28 Rosie Hayward , Fabio Biancalana

Parity-time (PT) symmetry has attracted a lot of attention since the concept of pseudo-Hermitian dynamics of open quantum systems was first demonstrated two decades ago. Contrary to their Hermitian counterparts, non-conservative…

Symmetry often governs the laws of nature, and breaking symmetry accompanies a new order parameter and emergent observable phenomena. Herein, we focus on broken Parity (P)-Time (T) symmetry, which lifts the Kramers' degeneracy, and thus,…

材料科学 · 物理学 2024-10-01 Sang-Wook Cheong , Fei-Ting Huang

We present the first experimental observation of modulation instability of partially spatially incoherent light beams in non-instantaneous nonlinear media. We show that even in such a nonlinear partially coherent system (of…

The concept of parity-time (PT) symmetry originates from the framework of quantum mechanics, where if the Hamiltonian operator satisfies the commutation relation with the parity and time operators, it shows all real eigen-energy spectrum.…

量子物理 · 物理学 2021-02-03 Wei-Chao Gao , Chao Zheng , Lu Liu , Tiejun Wang , Chuan Wang

Parity-time (PT) symmetry has been opening exciting opportunities in optics, yet the required careful balance of loss and gain has been hindering its practical implementations. Here, we propose a gain-free route to PT-symmetry based on…

光学 · 物理学 2020-05-18 Huanan Li , Ahmed Mekawy , Alex Krasnok , Andrea Alù

Despite the benefits that directional coupler based parity-time symmetric systems may offer to the field of integrated optics, the realization of such couplers relies on rather strict design constraints on the waveguide parameters. Here, we…

光学 · 物理学 2015-12-23 Chicheng Ma , Wiktor Walasik , Natalia M. Litchinitser

Recent experiments have demonstrated that it is possible to alter the dispersion of a medium without significantly altering its absorption or refractive index and that this may be done while a wave propagates through the medium. This…

光学 · 物理学 2010-06-10 Douglas H. Bradshaw , Michael D. Di Rosa

A generic novel model governing optical pulse propagation in a nonlinear dispersive amplifying medium with asymmetric (linear spectral slope) gain is introduced. We examine the properties of asymmetric optical pulses formed in such…

Parity-time (PT) symmetry in non-Hermitian optical systems promises distinct optical effects and applications not found in conservative optics. Its counterpart, anti-PT symmetry, subscribes another class of intriguing optical phenomena and…

光学 · 物理学 2020-03-26 Heng Fan , Jiayang Chen , Zitong Zhao , Jianming Wen , Yuping Huang

We investigate uncertainty relations for quantum observables evolving under non-Hermitian Hamiltonians, with particular emphasis on the role of metric operators. By constructing appropriate metrics in each dynamical regime, namely the…

量子物理 · 物理学 2026-04-13 Yanet Alvarez , Mariela Portesi , Romina Ramirez , Marta Reboiro

Many measurements on soft condensed matter (e.g., biological and materials) systems track low-dimensional observables projected from the full system phase space as a function of time. Examples are dynamic structure factors, spectroscopic…

统计力学 · 物理学 2021-02-03 Alessio Lapolla , Jeremy C. Smith , Aljaž Godec

We report an asymmetric behavior of optical pulses during their propagation through a time-varying linear optical medium. The refractive index of the medium is considered to be varying with time and complex such that a sufficient amount of…

光学 · 物理学 2020-07-17 Piyali Biswas , Harsh K. Gandhi , Vaibhab Mishra , Somnath Ghosh

The physics of systems that cannot be described by a Hermitian Hamiltonian, has been attracting a great deal of attention in recent years, motivated by their nontrivial responses and by a plethora of applications for sensing, lasing, energy…

光学 · 物理学 2021-03-16 Alex Krasnok , Nikita Nefedkin , Andrea Alu

We find that a broken PT-symmetry operator when interacts with suitable Hermitian operator, new system becomes completely un-broken PT symmetry. Further on varying the contribution of Hermiticity one can delay or control the broken…

量子物理 · 物理学 2020-04-14 Biswanath Rath

In analogy with equilibrium phase transitions, we address the problem of the instability to symmetry-breaking perturbations of systems undergoing a laser transition. The symmetry in question is the $U(1)$ invariance with respect to a phase…

介观与纳米尺度物理 · 物理学 2019-03-26 P. Gartner

We provide a time-dependent Dyson map and metric for the two dimensional harmonic oscillator with a non-Hermitian $i xy$ coupling term. This particular time-independent model exhibits spontaneously broken $\mathcal{PT}$-symmetry and becomes…

量子物理 · 物理学 2020-01-01 Andreas Fring , Thomas Frith