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We study an ultracold atomic gas with attractive interactions in a one-dimensional optical lattice. We find that its excitation spectrum displays a quantum soliton band, corresponding to $N$-particle bound states, and a continuum band of…

Quantum Gases · Physics 2019-02-13 Piero Naldesi , Juan Polo Gomez , Anna Minguzzi , Boris Malomed , Maxim Olshanii , Luigi Amico

We present a time-independent quantum formalism to describe the dynamics of molecules with permanent electric dipole moments in a two-dimensional confined geometry such as a one-dimensional optical lattice, in the presence of an electric…

Atomic Physics · Physics 2011-01-17 Goulven Quéméner , John L. Bohn

We study analytically how noninteracting weakly active particles, for which passive Brownian diffusion cannot be neglected and activity can be treated perturbatively, distribute and behave near boundaries in various geometries. In…

Soft Condensed Matter · Physics 2021-05-05 Michael Wang

We theoretically investigate the interplay of interactions and non-Hermiticity in the dynamics of two bosons on the one-dimensional Hatano-Nelson lattice with non-reciprocal tunneling. We find that the non-reciprocity in the tunneling leads…

Quantum Physics · Physics 2025-11-06 Sk Anisur , Kartik Singh , Sayan Choudhury

Quantum walks on the line with a single particle possess a classical analog. Involving more walkers opens up the possibility to study collective quantum effects, such as many particle correlations. In this context, entangled initial states…

Quantum Physics · Physics 2015-05-27 M. Stefanak , S. M. Barnett , B. Kollar , T. Kiss , I. Jex

We study the existence of bound states in the continuum for a system of n two-level quantum emitters, coupled with a one-dimensional boson field, in which a single excitation is shared among different components of the system. The emitters…

Quantum Physics · Physics 2019-08-27 Paolo Facchi , Davide Lonigro , Saverio Pascazio , Francesco V. Pepe , Domenico Pomarico

We study the two-body bound and scattering states of two particles in a one dimensional optical lattice in the presence of a coherent coupling between two internal atomic levels. Due to the interplay between periodic potential, interactions…

Quantum Gases · Physics 2016-03-09 Chiara Menotti , Fabrizio Minganti , Alessio Recati

We analyze the propagation of experimentally relevant two-particle correlations for one-dimensional interacting bosons, and give evidence that many-body chaos induces the emergence of an effective diffusive regime for the fully coherent…

Quantum Physics · Physics 2025-02-12 Óscar Dueñas , David Peña , Alberto Rodríguez

We consider two particles performing continuous-time nearest neighbor random walk on $\mathbb Z$ and interacting with each other when they are at neighboring positions. Typical examples are two particles in the partial exclusion process or…

Probability · Mathematics 2017-12-08 Gioia Carinci , Cristian Giardina , Frank Redig

Digital quantum computers offer a promising route for studying complex many-body systems that are otherwise inaccessible by their classical counterparts. Capabilities including mid-circuit measurements and feedback allow for simulating the…

The exactly solvable model of two indistinguishable quantum particles (bosons or fermions) confined in a one-dimensional harmonic trap and interacting via finite-range soft-core interaction is presented and many properties of the system are…

Quantum Gases · Physics 2018-01-09 Przemysław Kościk , Tomasz Sowiński

We investigate the dynamical properties of the two-bosons quantum walk in system with different degrees of coherence, where the effect of the coherence on the two-bosons quantum walk can be naturally introduced. A general analytical…

Quantum Physics · Physics 2019-08-15 Li-Hua Lu , Shan Zhu , You-Quan Li

It is commonly believed that there are only two types of particle exchange statistics in quantum mechanics, fermions and bosons, with the exception of anyons in two dimension. In principle, a second exception known as parastatistics, which…

Quantum Physics · Physics 2025-05-13 Zhiyuan Wang , Kaden R. A. Hazzard

Fermions and hardcore bosons share the same restriction: no more than one particle can occupy a single site in a lattice system. Specifically, in one dimension, two systems can share the same matrix representation. In this work, we…

Strongly Correlated Electrons · Physics 2025-01-20 C. H. Zhang , Z. Song

We show that excitations of interacting quantum particles in lattice models always propagate with a finite speed of sound. Our argument is simple yet general and shows that by focusing on the physically relevant observables one can…

Quantum Physics · Physics 2015-03-17 Norbert Schuch , Sarah K. Harrison , Tobias J. Osborne , Jens Eisert

This work deals with the behavior of fermions in the background of kinklike structures in the two-dimensional spacetime. The kinklike structures appear from bosonic scalar field models that engender distinct profiles and interact with the…

High Energy Physics - Theory · Physics 2019-01-08 D. Bazeia , A. Mohammadi , D. C. Moreira

It is known that there are lattice models in which non-interacting particles get dynamically localized when periodic $\delta$-function kicks are applied with a particular strength. We use both numerical and analytical methods to study the…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 Adhip Agarwala , Diptiman Sen

In this work we propose a measure for the quantum discord of indistinguishable particles, based on the definition of entanglement of particles given in [H. M. Wiseman et al., Phis. Rev. Lett 91, 097902 (2003)]. This discord of particles is…

Quantum Physics · Physics 2016-04-28 Andrea Beggi , Fabrizio Buscemi , Paolo Bordone

Fermionization is what happens to the state of strongly interacting repulsive bosons interacting with contact interactions in one spatial dimension. Crystallization is what happens for sufficiently strongly interacting repulsive bosons with…

In a recent work, Murmann {\it et. al.} [Phys. Rev. Lett. {\bf114}, 080402 (2015)] have experimentally prepared and manipulated a double-well optical potential containing a pair of Fermi atoms as a possible building block of Hubbard model.…

Quantum Physics · Physics 2019-12-05 Subhanka Mal , Kingshuk Adhikary , Bimalendu Deb