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The dynamics of a semiconductor-laser array whose individual elements are coupled in a global way through an external mirror is numerically analysed. A coherent in-phase solution is seen to be preferred by the system at intermediate values…

adap-org · Physics 2015-06-24 J. Garcia-Ojalvo , J. Casademont , C. R. Mirasso , M. C. Torrent , J. M. Sancho

Quantum correlations, both spatial and temporal, are the central pillars of quantum mechanics. Over the last two decades, a big breakthrough in quantum physics is its complex extension to the non-Hermitian realm, and dizzying varieties of…

We present a systematic study of statistical mechanics for non-Hermitian quantum systems. Our work reveals that the stability of a non-Hermitian system necessitates the existence of a single path-dependent conserved quantity, which, in…

Statistical Mechanics · Physics 2023-12-04 Kui Cao , Su-Peng Kou

We propose an effective permittivity model to homogenize an array of long thin epsilon-negative rods arranged in a periodic lattice. It is proved that the effect of spatial dispersion in this electromagnetic crystal cannot be neglected, and…

Materials Science · Physics 2009-11-11 Mario Silveirinha

We study a non-interacting quantum particle, moving on a one-dimensional lattice, which is subjected to repetitive measurements. We investigate the consequence when such motion is interrupted and restarted from the same initial…

Quantum Physics · Physics 2023-03-21 Ranjan Modak , S. Aravinda

Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering of waves and open quantum many-body systems. Seminal…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Kang Yang , Zhi Li , J. Lukas K. König , Lukas Rødland , Marcus Stålhammar , Emil J. Bergholtz

In recent years, non-Hermitian phases in classical and quantum systems have garnered significant attention. In particular, their intriguing band geometry offers a platform for exploring unique topological states and unconventional quantum…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Ayan Banerjee , Arka Bandyopadhyay , Ronika Sarkar , Awadhesh Narayan

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…

Studying time-dependent behavior in lasers is analytically difficult due to the saturating non-linearity inherent in the Maxwell-Bloch equations and numerically demanding because of the computational resources needed to discretize both time…

Optics · Physics 2015-12-23 O. Malik , K. G. Makris , H. E. Türeci

Soliton molecules (SMs) are fundamentally important modes in nonlinear optical systems. It is a challenge to experimentally produce SMs with a required temporal separation in mode-locked fiber lasers. Here, we propose and realize an…

Optics · Physics 2022-02-09 Shilong Liu , Yudong Cui , Ebrahim Karimi , Boris A. Malomed

The exact nondipole minimal-coupling Hamiltonian for an atom interacting with an explicitly time- and space-dependent laser field is transformed into the rest frame of a classical free electron in the laser field, i.e., into the…

Atomic Physics · Physics 2007-05-23 M. Forre , S. Selsto , J. P. Hansen , L. B. Madsen

Non-radiative wireless power transfer (WPT) technology has made considerable progress with the application of the parity-time (PT) symmetry concept. In this letter, we extend the standard second-order PT-symmetric Hamiltonian to high-order…

Applied Physics · Physics 2023-03-01 Xianglin Hao , Ke Yin , Jianlong Zou , Ruibin Wang , Yuangen Huang , Xikui Ma , Tianyu Dong

We propose a flexible Raman lattice system for alkaline-earth-like atoms to theoretically investigate localization behaviors in a quasi-periodic lattice with controllable non-Hermiticity. Our analysis demonstrates that critical phases and…

Quantum Gases · Physics 2026-02-11 Entong Zhao , Yu-Jun Liu , Ka Kwan Pak , Peng Ren , Mengbo Guo , Chengdong He , Gyu-Boong Jo

Understanding the dynamics of Fourier domain mode-locked (FDML) lasers is crucial for determining physical coherence limits, and for finding new superior methods for experimental realization. In addition, the rich interplay of linear and…

The main purpose of this paper is to formulate new conditions for smooth linearization of nonautonomous systems with discrete and continuous time. Our results assume that the linear part admits a nonuniform polynomial dichotomy and that the…

Dynamical Systems · Mathematics 2022-10-11 Lucas Backes , Davor Dragicevic , Wenmeng Zhang

We describe a diagrammatic technique for non-Hermitian fermionic systems that is applicable in the steady state, and which allows addressing correlations effects by systematic expansion. Applying this method to exceptional points or rings,…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Johan Carlström

Bound states of solitons, alias soliton molecules (SMs), are well known in one-dimensional (1D) systems, while making stable bound states of multidimensional solitons is a challenging problem because of the underlying instabilities. Here we…

Optics · Physics 2022-08-10 Lu Qin , Chao Hang , Boris A. Malomed , Guoxiang Huang

A stable nonlinear wave packet, self-localized in all three dimensions, is an intriguing and much sought after object in nonlinear science in general and in nonlinear photonics in particular. We report on the experimental observation of…

Pattern Formation and Solitons · Physics 2017-02-01 F. Gustave , N. Radwell , C. McIntyre , J. P. Toomey , D. M. Kane , S. Barland , W. J. Firth , G. -L. Oppo , T. Ackemann

We demonstrate that the non-Hermitian parity-time (PT) symmetric interfaces formed between amplifying and lossy crystals support dissipationless edge states. These PT edge states exhibit gapless spectra in the complex band structure…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Xiang Ni , Daria Smirnova , Alexander Poddubny , Daniel Leykam , Yidong Chong , Alexander B. Khanikaev

The dynamics of light beams in the nonlinear optical media with periodically modulated in the longitudinal direction parity-time distribution of the complex refractive index is investigated. The possibility of dynamical stabilization of…

Pattern Formation and Solitons · Physics 2018-02-14 F. Kh. Abdullaev , R. M. Galimzyanov