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Many-body eigenstates that are neither thermal nor many-body-localized (MBL) were numerically found in certain interacting chains with moderate quasiperiodic potentials. The energy regime consisting of these non-ergodic but extended (NEE)…

Disordered Systems and Neural Networks · Physics 2025-05-12 Colin Beveridge , Kathleen Hart , Cassio Rodrigo Cristani , Xiao Li , Enrico Barbierato , Yi-Ting Hsu

Mobility edges (MEs) constitute the energies separating the localized states from the extended ones in disordered systems. Going beyond this conventional definition, recent proposal suggests for an ME which separates the localized and…

Quantum Gases · Physics 2025-03-26 Sanchayan Banerjee , Soumya Ranjan Padhi , Tapan Mishra

We provide approximate solutions for the mobility edge (ME) that demarcates localized and extended states within a specific class of one-dimensional non-Hermitian (NH) quasicrystals. These NH quasicrystals exhibit a combination of…

Disordered Systems and Neural Networks · Physics 2025-02-14 Xiang-Ping Jiang , Mingdi Xu , Lei Pan

The mobility edge (ME) is a fundamental concept in the Anderson localized systems, which marks the energy separating extended and localized states. Although the ME and localization phenomena have been extensively studied in non-Hermitian…

Disordered Systems and Neural Networks · Physics 2025-09-10 Xiang-Ping Jiang , Zhende Liu , Yayun Hu , Lei Pan

We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserving) yet possess no symplectic structure. As a result, the…

Statistical Mechanics · Physics 2023-11-09 Adam J. McRoberts , Hongzheng Zhao , Roderich Moessner , Marin Bukov

We study prethermal time quasicrystalline (TQC) order in a quasiperiodically driven chain of non-interacting spin-1/2 particles. The drive consists of two parts, switched on and off periodically with frequency $\omega_d$: (i) disordered…

Disordered Systems and Neural Networks · Physics 2026-05-01 Davood Marripour , Jahanfar Abouie

We uncover subtle and previously unexplored phenomena arising from the interplay of nonlinearity and nonreciprocity in topological mechanical metamaterials. We study a nonreciprocal topological Klein-Gordon chain of asymmetrically coupled…

Disordered Systems and Neural Networks · Physics 2026-02-10 Bertin Many Manda , Vassos Achilleos

Answering the question of existence of efficient quantum algorithms for NP-hard problems require deep theoretical understanding of the properties of the low-energy eigenstates and long-time coherent dynamics in quantum spin glasses. We…

Disordered Systems and Neural Networks · Physics 2019-07-04 Vadim N. Smelyanskiy , Kostyantyn Kechedzhi , Sergio Boixo , Hartmut Neven , Boris Altshuler

Statistical mechanics can predict thermal equilibrium states for most classical systems, but for an isolated quantum system there is no general understanding on how equilibrium states dynamically emerge from the microscopic Hamiltonian. For…

Quantum Physics · Physics 2016-08-03 B. Neyenhuis , J. Smith , A. C. Lee , J. Zhang , P. Richerme , P. W. Hess , Z. -X. Gong , A. V. Gorshkov , C. Monroe

Classical nonlinear theories are highly successful in describing far-from-equilibrium dynamics of magnets, encompassing phenomena such as parametric resonance, ultrafast switching, and even chaos. However, at ultrashort length and time…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Lukas Körber , Pim Coenders , Johan H. Mentink

We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials. Demarcating boundaries between localised and extended states in the space of system parameters and energy,…

Disordered Systems and Neural Networks · Physics 2021-02-10 Alexander Duthie , Sthitadhi Roy , David E. Logan

The nonequilibrium steady state (NESS) of integrable spin chains experiencing strong boundary dissipation is accounted by introducing quasiparticles with a renormalized -- dissipatively dressed -- dispersion relation. This allows us to…

Statistical Mechanics · Physics 2025-05-23 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaž Prosen

We theoretically report the emergence of $Z_4$ parafermion edge modes in a periodically driven spinful superconducting chain with modest fermionic Hubbard interaction. These parafermion edge modes represent $\pm \pi/(2T)$ quasienergy…

Quantum Physics · Physics 2021-10-04 Raditya Weda Bomantara

Magnetic skyrmions exhibit particle-like stability and rich dynamical behaviour arising from their topological nature, making them promising building blocks for future spintronic devices. In this work, we investigate the interaction…

Applied Physics · Physics 2025-12-29 M. Al Busaidi , F. Al Ma'Mari , R. Sbiaa

In the last few years, several works have identified the concurrence of the spectral, delocalization-localization and topological phase transitions in non-Hermitian quasiperiodic systems in the presence of time-reversal symmetry (TRS), with…

Disordered Systems and Neural Networks · Physics 2025-08-21 Aditi Chakrabarty , Sanchayan Banerjee , Tapan Mishra , Sanjoy Datta

The unusual quantum-disordered magnetic ground state intertwined with superconductivity and electronic nematicity in FeSe has been a research focus in iron-based superconductors. However, the intrinsic spin excitations across the entire…

We have performed a systematic calculation for the non-Markovian dynamics of a localized electron spin interacting with an environment of nuclear spins via the Fermi contact hyperfine interaction. This work applies to an electron in the s…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. A. Coish , Daniel Loss

The interplay between topology and non-Hermiticity gives rise to exotic dynamic phenomena that challenge conventional wave-packet propagation and entanglement dynamics. While recent studies have established the non-Hermitian skin effect…

Optics · Physics 2026-01-01 Li-Wei Wang , Bolun Hu , Haixiao Zhang , Kefan Sun , Ying Cheng , Jian-Hua Jiang

We consider time evolution in models close to integrable points with hidden symmetries that generate infinitely many local conservation laws that do not commute with one another. The system is expected to (locally) relax to a thermal…

Statistical Mechanics · Physics 2015-07-14 Bruno Bertini , Maurizio Fagotti

Motivated by recent experiments realizing long-lived non-equilibrium states in aperiodically driven quantum many-body systems, we investigate the dynamics of a quasiperiodically driven Rydberg atom chain in the strong Rydberg blockage…

Quantum Gases · Physics 2025-06-10 Pinaki Dutta , Sayan Choudhury , Vishwanath Shukla
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