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The interactions between holes in the Hubbard model, in the low density, intermediate to strong coupling limit, are investigated by systematically improving mean field calculations. The Configuration Interaction basis set is constructed by…

Strongly Correlated Electrons · Physics 2009-10-31 E. Louis , F. Guinea , M. P. Lopez-Sancho , J. A. Verges

Cluster states were introduced in the context of measurement based quantum computing. In one dimension, the cluster Hamiltonian possesses topologically protected states. We investigate the Floquet dynamics of the cluster spin chain in an…

Quantum Physics · Physics 2023-02-10 Alberto D. Verga

The dynamics of a one dimensional growth model involving attachment and detachment of particles is studied in the presence of a localized growth inhomogeneity along with anchored boundary conditions. At large times, the latter enforce an…

Statistical Mechanics · Physics 2007-05-23 M. D. Grynberg

We examine a completely positive and trace preserving evolution of finite dimensional open quantum system, coupled to large environment via periodically modulated interaction Hamiltonian. We derive a corresponding Markovian Master Equation…

Mathematical Physics · Physics 2021-01-12 Krzysztof Szczygielski

We investigate the asymptotic state of a periodically driven many-body quantum system which is weakly coupled to an environment. The combined action of the modulations and the environment steers the system towards a state being…

Quantum Gases · Physics 2019-03-04 Michael Hartmann , Dario Poletti , Mikhail Ivanchenko , Sergey Denisov , Peter Hänggi

Recent numerical advances in the field of strongly correlated electron systems allow the calculation of the entanglement spectrum and entropies for interacting fermionic systems. An explicit determination of the entanglement (modular)…

Strongly Correlated Electrons · Physics 2018-11-16 Francesco Parisen Toldin , Fakher F. Assaad

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

Statistical Mechanics · Physics 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

Incoherent stochastic processes added to unitary dynamics are typically deemed detrimental since they are expected to diminish quantum features such as superposition and entanglement. Instead of exhibiting energy-conserving persistent…

The competition between unitary time-evolution and quantum measurements could induce phase transitions in the entanglement characteristics of quantum many-body dynamics. In this work, we reveal such entanglement transitions in the context…

Quantum Physics · Physics 2024-04-24 Longwen Zhou

The generalization of the concept of interaction-free evolutions (IFE) [A. Napoli, {\it et al.}, Phys. Rev. A {\bf 89}, 062104 (2014)] to the case of time-dependent Hamiltonians is discussed. It turns out that the time-dependent case allows…

Quantum Physics · Physics 2015-04-22 Dariusz Chruściński , Antonino Messina , Benedetto Militello , Anna Napoli

The extended Hubbard model with an attractive density-density interaction, positive pair hopping, or both, is shown to host topological phases, with a doubly degenerate entanglement spectrum and interacting edge spins. This constitutes a…

Strongly Correlated Electrons · Physics 2020-08-11 Roman Rausch , Matthias Peschke

While isolated quantum systems generally thermalize after long-time evolution, there are several exceptions defying thermalization. A notable mechanism of such nonergodicity is the Hilbert space fragmentation (HSF), where the Hamiltonian…

We derive an exact probabilistic representation for the evolution of a Hubbard model with site- and spin-dependent hopping coefficients and site-dependent interactions in terms of an associated stochastic dynamics of a collection of Poisson…

We investigate the onset and mechanism of Hilbert space fragmentation (HSF) in a chain of strongly interacting Rydberg atoms subject to local dephasing. It is found that the emergence of multiple long-lived metastable states is…

Quantum Physics · Physics 2025-12-01 Tianyi Yan , Chun Hei Leung , Weibin Li

In this work, we present a collection of three-dimensional higher-order symmetry protected topological phases (HOSPTs) with gapless hinge modes that exist only in strongly interacting systems subject to subsystem symmetry constraints. We…

Strongly Correlated Electrons · Physics 2022-06-29 Julian May-Mann , Yizhi You , Taylor L. Hughes , Zhen Bi

We study a Fermionic chain with nearest-neighbor hopping and density-density interactions, where the nearest-neighbor interaction term is driven periodically. We show that such a driven chain exhibits prethermal strong Hilbert space…

Strongly Correlated Electrons · Physics 2023-03-28 Somsubhra Ghosh , Indranil Paul , K. Sengupta

We present a new method to study the semiclassical dynamics of the Jaynes-Cummings dimer model, describing two coupled cavities each containing a two-level system (qubit). We develop a Fock space WKB approach in the polariton basis where…

Quantum Physics · Physics 2016-01-25 Hassan Shapourian , Darius Sadri

We study how to efficiently control an interacting few-body system consisting of three harmonically trapped bosons. Specifically we investigate the process of modulating the interparticle interactions to drive an initially non-interacting…

Quantum Gases · Physics 2019-09-02 Alan Kahan , Thomás Fogarty , Jing Li , Thomas Busch

Deterministic preparation of an ultracold harmonically trapped one-dimensional Fermi gas consisting of a few fermions has been realized by the Heidelberg group. Using Floquet formalism, we study the time dynamics of two- and three-fermion…

Quantum Gases · Physics 2016-10-24 X. Y. Yin , Yangqian Yan , D. Hudson Smith

We study communities emerging from generalised random Lotka--Volterra dynamics with a large number of species with interactions determined by the degree of niche overlap. Each species is endowed with a number of traits, and competition…

Populations and Evolution · Quantitative Biology 2023-11-30 Enrique Rozas Garcia , Mark J. Crumpton , Tobias Galla
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