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Optical lattice loaded with cold atoms can exhibit a tunable photonic band gap for a weak probe field under the conditions of electromagnetically induced transparency. This system possesses a number of advantageous properties, including…

Quantum Physics · Physics 2011-11-10 David Petrosyan

The topological characteristics of photonic crystals have been the subject of intense research in recent years. Despite this, the basic question of whether photonic band topology is rare or abundant -- i.e., its relative prevalence --…

Mesoscale and Nanoscale Physics · Physics 2023-07-31 Ali Ghorashi , Sachin Vaidya , Mikael Rechtsman , Wladimir Benalcazar , Marin Soljačić , Thomas Christensen

Polarization-entangled photon pairs generated from second-order nonlinear optical media have been extensively studied for both fundamental research and potential applications of quantum information. In spontaneous parametric down-conversion…

Quantum Physics · Physics 2024-10-01 B. S. Ham

We study the heat statistics of a multi-level $N$-dimensional quantum system monitored by a sequence of projective measurements. The late-time, asymptotic properties of the heat characteristic function are analyzed in the thermodynamic…

Quantum Physics · Physics 2021-09-15 Stefano Gherardini , Guido Giachetti , Stefano Ruffo , Andrea Trombettoni

Motivated by the rapidly growing possibilities for experiments with ultracold atoms in optical lattices we investigate the thermodynamic properties of correlated lattice fermions in the presence of an external spin-dependent random…

Strongly Correlated Electrons · Physics 2015-06-15 K. Makuch , J. Skolimowski , P. B. Chakraborty , K. Byczuk , D. Vollhardt

We study numerically the localization properties of eigenstates in a one-dimensional random lattice described by a non-Hermitian disordered Hamiltonian, where both the disorder and the non-Hermiticity are inserted simultaneously in the…

Disordered Systems and Neural Networks · Physics 2020-01-08 Ba Phi Nguyen , Duy Khuong Phung , Kihong Kim

Photonic topological structures supporting spin-momentum locked topological states underpin a plethora of prospects and applications for disorder-robust routing of light. One of the cornerstone ideas to realize such states is to exploit…

Optics · Physics 2019-11-15 Daniel A. Bobylev , Daria A. Smirnova , Maxim A. Gorlach

In lattices with uncorrelated on-site potential disorder, Anderson localization near the band edges can exhibit anomalously weak localization in the form of Lifshitz tail states. These states correspond to clusters of contiguous sites with…

Optics · Physics 2025-03-25 Stefano Longhi

This paper originates from lectures delivered at the summer school "Fundamental Problems in Statistical Physics XV" in Bruneck, Italy, in 2021. We give a brief and limited introduction into ergodicity-breaking induced by disorder. As the…

Mathematical Physics · Physics 2023-08-17 Wojciech De Roeck , François Huveneers , Branko Meeus , Oskar A. Prośniak

Chaos and ergodicity are the cornerstones of statistical physics and thermodynamics. While classically even small systems like a particle in a two-dimensional cavity, can exhibit chaotic behavior and thereby relax to a microcanonical…

Quantum Gases · Physics 2017-07-19 Anatoli Polkovnikov , Dries Sels

Positional disorder has been introduced into the atomic structure of certain crystalline lattices, and the orientationally-averaged structure factor S(k) and pair-correlation function g(r) of these disordered lattices have been studied.…

Materials Science · Physics 2009-11-10 J. K. Christie , S. N. Taraskin , S. R. Elliott

The spectra of particles in disordered lattices can either be completely extended or localized or can be intermediate which hosts both the localized and extended states separated from each other. In this work, however, we show that in the…

Disordered Systems and Neural Networks · Physics 2025-12-03 Soumya Ranjan Padhi , Sanchayan Banerjee , Tanay Nag , Tapan Mishra

We suggest that if a localized phase at nonzero temperature $T>0$ exists for strongly disordered and weakly interacting electrons, as recently argued, it will also occur when both disorder and interactions are strong and $T$ is very high.…

Strongly Correlated Electrons · Physics 2009-11-11 Vadim Oganesyan , David A. Huse

We investigate an odd-sized fermionic open tight-binding chain subjected to stochastic projective measurements at its central site, effectively inducing localized dephasing. Focusing initially on the single-particle regime, we demonstrate…

Quantum Physics · Physics 2026-05-27 Aitijhya Saha , Srijani Das , Debraj Rakshit

Recent advances in constructing synthetic dimension provide a powerful tool for exploring exotic topological states of matter in high dimensions. Here we report that the parity anomaly and associated \textit{half-integer} quantized Hall…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Xian-Hao Wei , Xi-Wang Luo , Guang-Can Guo , Zheng-Wei Zhou

We study the polaritonic bandstructure of two-dimensional atomic lattices coupled to a single excitation of a surface plasmon polariton mode. We show the possibility of realizing topological gaps with different Chern numbers by having…

Optics · Physics 2021-03-31 Rituraj , Meir Orenstein , Shanhui Fan

Time modulation can cause gain and loss in photonic media, leading to complex modal behaviors and enhanced wave controllability in the non-Hermitian regime. Conversely, we reveal that Hermiticity and parity-time $\mathcal{PT}$-symmetry…

Optics · Physics 2025-07-08 Rui-Chuan Zhang , Shu Yang , Yixin Sha , Zetao Xie , Yi Yang

We study the power asymmetry between even and odd multipoles in the multipolar expansion of CMB temperature data from WMAP, recently reported in the literature. We introduce an alternate statistic which probes this effect more sensitively.…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-04 Pavan K. Aluri , Pankaj Jain

Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light. Drawing inspiration from the discovery of the quantum Hall effects and…

We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore,…

Disordered Systems and Neural Networks · Physics 2024-04-30 Chong Sun