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We determine antiferromagnetic (AF) signatures in the half-filled Hubbard model at strong coupling on a cubic lattice and in lower dimensions. Upon cooling, the transition from the charge-excitation regime to the AF Heisenberg regime is…

Quantum Gases · Physics 2012-06-11 E. V. Gorelik , D. Rost , T. Paiva , R. Scalettar , A. Klümper , N. Blümer

We study Hilbert space fragmentation in the extended Fermi-Hubbard model with nearest and next-nearest-neighbor interactions. Using a generalized spin/mover picture and saddle point methods, we derive lower bounds for the scaling of the…

Strongly Correlated Electrons · Physics 2022-12-06 Philipp Frey , Lucas Hackl , Stephan Rachel

Non-Hermitian topological phases in static and periodically driven systems have attracted great attention in recent years. Finding dynamical probes for these exotic phases would be of great importance in the detection and application of…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Longwen Zhou

Motivated by experimental observations of time-symmetry breaking behavior in a periodically driven (Floquet) system, we study a one-dimensional spin model to explore the stability of such Floquet discrete time crystals (DTCs) under the…

Strongly Correlated Electrons · Physics 2017-09-25 Tian-Sheng Zeng , D. N. Sheng

In this paper and its sequel, we study non-equilibrium dynamics in driven 1+1D conformal field theories (CFTs) with periodic, quasi-periodic, and random driving. We study a soluble family of drives in which the Hamiltonian only involves the…

Statistical Mechanics · Physics 2021-04-19 Xueda Wen , Ruihua Fan , Ashvin Vishwanath , Yingfei Gu

Driving a quantum system periodically in time can profoundly alter its long-time correlations and give rise to exotic quantum states of matter. The complexity of the combination of many-body correlations and dynamic manipulations has the…

Strongly Correlated Electrons · Physics 2019-06-04 Shaon Sahoo , Imke Schneider , Sebastian Eggert

Discrete time-crystals are periodically driven quantum many-body systems with broken discrete-time translational symmetry, a non-equilibrium steady state representing self-organization of motion of quantum particles. Observations of…

Mesoscale and Nanoscale Physics · Physics 2022-06-28 Subhajit Sarkar , Yonatan Dubi

We investigate emergent quantum dynamics of the tilted Ising chain in the regime of a weak transverse field. Within the leading order perturbation theory, the Hilbert space is fragmented into exponentially many decoupled sectors. We find…

Strongly Correlated Electrons · Physics 2022-05-17 Alvise Bastianello , Umberto Borla , Sergej Moroz

While Hamiltonian mechanics provides a powerful inductive bias for neural networks modeling dynamical systems, Hamiltonian Neural Networks and their variants often fail to capture complex temporal dynamics spanning multiple timescales. This…

Machine Learning · Computer Science 2026-03-17 Yaojun Li , Yulong Yang , Christine Allen-Blanchette

We investigate the static and dynamical behavior of 1D interacting fermions in disordered Hubbard chains, contacted to semi-infinite leads. The chains are described via the repulsive Anderson-Hubbard Hamiltonian, using static and…

Mesoscale and Nanoscale Physics · Physics 2013-03-27 V. Vettchinkina , A. Kartsev , D. Karlsson , C. Verdozzi

Hilbert space fragmentation provides a mechanism to break ergodicity in closed many-body systems. Here, we propose a feasible scheme to explore this exotic paradigm on a Rydberg quantum simulator. We show that the Rydberg Ising model in the…

Quantum Physics · Physics 2025-04-28 Fan Yang , Hadi Yarloo , Hua-Chen Zhang , Klaus Mølmer , Anne E. B. Nielsen

We consider a clean quantum system subject to strong periodic driving. The existence of a dominant energy scale, $h_D^x$, can generate considerable structure in an effective description of a system which, in the absence of the drive, is…

Other Condensed Matter · Physics 2021-04-14 Asmi Haldar , Diptiman Sen , Roderich Moessner , Arnab Das

We report experimental evidence of the route to spatiotemporal chaos in a large 1D-array of hotspots in a thermoconvective system. Increasing the driving force, a stationary cellular pattern becomes unstable towards a mixed pattern of…

Chaotic Dynamics · Physics 2011-03-10 M. A. Miranda , J. Burguete

This paper investigates the dynamical phases of Floquet Conformal Field Theories (CFTs) in space-time dimensions greater than two. Building upon our previous work [1] which introduced quaternionic representations for studying Floquet…

High Energy Physics - Theory · Physics 2026-02-17 Diptarka Das , Sumit R. Das , Arnab Kundu , Krishnendu Sengupta

We show that a periodically driven two-leg flux ladder hosting interacting hardcore bosons exhibits a prethermal Meissner phase for large drive amplitudes and at special drive frequencies. Such a prethermal Meissner phase is characterized…

Quantum Gases · Physics 2025-05-08 Biswajit Paul , Tapan Mishra , K. Sengupta

In periodically-driven quantum systems, resonances can induce exotic nonequilibrium behavior and new phases of matter without static analog. We report on the emergence of fractional and integer resonances in a broad class of many-body…

Quantum Physics · Physics 2022-09-26 R. Peña , V. M. Bastidas , F. Torres , W. J. Munro , G. Romero

Atypical eigenstates in the form of quantum scars and fragmentation of Hilbert space due to conservation laws provide obstructions to thermalization in the absence of disorder. In certain models with dipole and $U(1)$ conservation, the…

Statistical Mechanics · Physics 2022-01-19 Jonas Richter , Arijeet Pal

Persistent currents in disordered mesoscopic rings threaded by a magnetic flux are calculated using exact diagonalization methods in the one-dimensional (1D) case and self-consistent Hartree-Fock treatments for two dimensional (2D) systems.…

Condensed Matter · Physics 2008-02-03 Georges Bouzerar , Didier Poilblanc

Open quantum systems far from thermal equilibrium can exhibit remarkable physical phenomena including topological properties without a direct equilibrium counterpart. Along these lines, in periodically driven dissipative systems within the…

Mesoscale and Nanoscale Physics · Physics 2025-11-24 Florian Koch , Yu-Min Hu , Jan Carl Budich

We report the theoretical discovery and characterization of higher-order Floquet topological phases dynamically generated in a periodically driven system with mirror symmetries. We demonstrate numerically and analytically that these phases…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Martin Rodriguez-Vega , Abhishek Kumar , Babak Seradjeh