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Hilbert space fragmentation (HSF) is a phenomenon that the Hilbert space of an isolated quantum system splits into exponentially many disconnected subsectors. The fragmented systems do not thermalize after long-time evolution because the…

Quantum Gases · Physics 2023-12-29 Masaya Kunimi , Ippei Danshita

We show from the symmetries of the many body Hamiltonian, cast into the form of the Heisenberg (spin) Hamiltonian, that the fractional periodicities of persistent currents are due to the breakdown of internal symmetry and the spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Singha Deo , P. Koskinen , M. Koskinen , M. Manninen

We experimentally study a periodically driven many-body localized system realized by interacting fermions in a one-dimensional quasi-disordered optical lattice. By preparing the system in a far-from-equilibrium state and monitoring the…

Quantum Gases · Physics 2017-05-24 Pranjal Bordia , Henrik Lüschen , Ulrich Schneider , Michael Knap , Immanuel Bloch

We introduce a one-dimensional (1D) extended quantum breakdown model comprising a fermionic and a spin degree of freedom per site, and featuring a spatially asymmetric breakdown-type interaction between the fermions and spins. We…

Strongly Correlated Electrons · Physics 2024-10-17 Bo-Ting Chen , Abhinav Prem , Nicolas Regnault , Biao Lian

We study the stroboscopic non-equilibrium quantum dynamics of periodically kicked Hamiltonians involving homogeneous central-spin interactions. The system exhibits a strong fragmentation of Hilbert space into four-dimensional Floquet-Krylov…

Quantum Physics · Physics 2025-03-18 Abhishek Kumar , Rafail Frantzeskakis , Edwin Barnes

Time periodic modulations of the transverse field in the closed XY spin-1/2 chain generate a very rich dynamical phase diagram, with a hierarchy of topological phases characterized by differing numbers of Floquet-Majorana modes. We show…

Strongly Correlated Electrons · Physics 2017-10-09 Paolo Molignini , Evert van Nieuwenburg , R. Chitra

The fully frustrated ladder - a quasi-1D geometrically frustrated spin one half Heisenberg model - is non-integrable with local conserved quantities on rungs of the ladder, inducing the fragmentation of the Hilbert space into sectors…

Statistical Mechanics · Physics 2021-10-13 Dominik Hahn , Paul A. McClarty , David J. Luitz

The cooperation between time-periodic driving fields and non-Hermitian effects could endow systems with distinctive spectral and transport properties. In this work, we uncover an intriguing class of non-Hermitian Floquet matter in…

Quantum Physics · Physics 2022-08-16 Longwen Zhou , Wenqian Han

Periodically driven quantum systems, known as Floquet systems, provide a versatile platform for engineering novel topological phases absent in static settings. However, dynamically characterizing these non-equilibrium topological invariants…

Quantum Physics · Physics 2026-05-08 Xin Shen , Bing Lu , Yan-Qing Zhu

We study the localization-delocalization transition of Floquet eigenstates in a driven fermionic chain with an incommensurate Aubry-Andr\'{e} potential and a hopping amplitude which is varied periodically in time. Our analysis shows the…

Statistical Mechanics · Physics 2021-05-26 Madhumita Sarkar , Roopayan Ghosh , Arnab Sen , K. Sengupta

Periodically driven, or Floquet, disordered quantum systems have generated many unexpected discoveries of late, such as the anomalous Floquet Anderson insulator and the discrete time crystal. Here, we report the emergence of an entire band…

Disordered Systems and Neural Networks · Physics 2018-05-22 Sthitadhi Roy , Ivan M. Khaymovich , Arnab Das , Roderich Moessner

The eigenstate thermalization hypothesis describes how isolated many-body quantum systems reach thermal equilibrium. However, quantum many-body scars and Hilbert space fragmentation violate this hypothesis and cause nonthermal behavior. We…

Strongly Correlated Electrons · Physics 2024-08-06 Pieter H. Harkema , Michael Iversen , Anne E. B. Nielsen

We introduce a one-dimensional correlated-hopping model of spinless fermions in which a particle can hop between two neighboring sites only if the sites to the left and right of those two sites have different particle numbers. Using a…

Statistical Mechanics · Physics 2024-07-11 Sreemayee Aditya , Deepak Dhar , Diptiman Sen

Quantum many-body systems may defy thermalization even without disorder. Intriguingly, non-ergodicity may be caused by a fragmentation of the many-body Hilbert-space into dynamically disconnected subspaces. The tilted one-dimensional…

Motivated by previous works on a Floquet version of the PXP model [Mukherjee {\it et al.} Phys. Rev. B 102, 075123 (2020), Mukherjee {\it et al.} Phys. Rev. B 101, 245107 (2020)], we study a one-dimensional spin-$1/2$ lattice model with…

Strongly Correlated Electrons · Physics 2021-10-12 Bhaskar Mukherjee , Debasish Banerjee , K. Sengupta , Arnab Sen

Free fermions in disguise (FFD) Hamiltonians describe spin chains which can be mapped to free fermions, but not via a Jordan-Wigner transformation. Although the mapping gives access to the full Hamiltonian spectrum, the computation of spin…

Statistical Mechanics · Physics 2026-01-06 Eric Vernier , Lorenzo Piroli

Floquet modulations often yield effective Hamiltonians not easily accessible in traditional time-dependent systems, which brings opportunities for exploring novel physics of quantum dynamics. We investigate a Floquet system exhibiting…

Quantum Physics · Physics 2025-09-17 Suyang Lin , Ming Gong , Congjun Wu

Floquet Majorana fermions are steady states of equal superposition of electrons and holes in a periodically driven superconductor. We study the experimental signatures of Floquet Majorana fermions in transport measurements and show, both…

Mesoscale and Nanoscale Physics · Physics 2013-09-27 Arijit Kundu , Babak Seradjeh

Describing the behaviour of strongly interacting particles in the presence of disorder is among the most challenging problems in quantum many-body physics. The controlled setting of cold atom experiments provides a new avenue to address…

Periodically driven quantum systems host exotic phenomena which often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence of conservation laws, are realized…

Strongly Correlated Electrons · Physics 2024-02-19 Bhaskar Mukherjee , Ronald Melendrez , Marcin Szyniszewski , Hitesh J. Changlani , Arijeet Pal