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We calculate analytically the entanglement and R\'enyi entropies, the negativity and the mutual information together with all the density and many-particle correlation functions for free bosons on a lattice in the ground state, for both…

Quantum Gases · Physics 2022-03-08 Luca Dell'Anna

Boundary operators and boundary ground states in sine-Gordon model with a fixed boundary condition are studied using bosonization and q-deformed oscillators.We also obtain the form-factors of this model.

High Energy Physics - Theory · Physics 2015-06-26 Bo-yu Hou , Kang-jie Shi , Yan-shen Wang , Wen-li Yang

Interaction of branes in presence of internal gauge fields is considered by using the boundary state formalism. This approach enables us to consider the problems that are not easily accessible to the canonical approach via open strings. The…

High Energy Physics - Theory · Physics 2014-11-18 H. Arfaei , D. Kamani

We study theoretically quantum dynamics of interacting bosons in artificial magnetic fields as engineered in recent ultracold atomic experiments, where quantum cyclotron orbital motion has been observed. With exact numerical simulations and…

Quantum Gases · Physics 2014-06-25 Xiaopeng Li , S. Das Sarma

Various models of charged particles interacting with a quantized, ultraviolet cutoff radiation field (but not with each other) are investigated. Upper and lower bounds are found for the self- or ground state-energies without mass…

Mathematical Physics · Physics 2007-05-23 Elliott Lieb , Michael Loss

We investigate the quantum dynamics of two bosons, trapped in a two-dimensional harmonic trap, upon quenching arbitrarily their interaction strength thereby covering the entire energy spectrum. Utilizing the exact analytical solution of the…

Quantum Gases · Physics 2019-11-13 G. Bougas , S. I. Mistakidis. , P. Schmelcher

We describe a method of writing down interacting equations for all the modes of the bosonic open string. It is a generalization of the loop variable approach that was used earlier for the free, and lowest order interacting cases. The…

High Energy Physics - Theory · Physics 2011-04-20 B. Sathiapalan

We study a mixture of $N_{b}$ bosons with point hard-core boson-boson interactions and $N_{f}$ noninteracting spinless fermions with point hard-core boson-fermion interactions in 1D optical lattice with external harmonic confine potential.…

Quantum Gases · Physics 2009-10-01 Xiaoming Cai , Liming Guan , Shu Chen , Yajiang Hao , Yupeng Wang

Motivated by the experiment of two-component Bose-Einstein condensates produced in magnetically trapped $^{87}Rb$, we study one dimensional Boson systems with repulsive $\delta$-function interaction in the presence of SU(2) intrinsic degree…

Strongly Correlated Electrons · Physics 2015-06-24 You-Quan Li , Shi-Jian Gu , Zu-Jian Ying , Ulrich Eckern

We perform a non-perturbative analysis of the dynamics of a two-level quantum system subjected to repeated interactions with a bosonic environment when these interactions are intense and localized in time. We use the Weyl relations to…

Quantum Physics · Physics 2020-02-07 José de Ramón , Eduardo Martin-Martinez

We address ourselves to a class of systems composed of two coupled subsystems without any intra-subsystem interaction: itinerant Fermions and localized Bosons on a lattice. Switching on an interaction between the two subsystems leads to…

Superconductivity · Physics 2009-10-31 T. Domanski , J. Ranninger

We investigate the dynamics of bound states of two interacting particles, either bosons or fermions, performing a continuous-time quantum walk on a one-dimensional lattice. We consider the situation where the distance between both particles…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 P. L. Krapivsky , J. M. Luck , K. Mallick

We use exact diagonalization to study an interacting system of $N$ spinless bosons with finite-range Gaussian repulsion, confined in a quasi-two-dimensional harmonic trap with and without an introduced rotation. The diagonalization of the…

Quantum Gases · Physics 2020-06-02 Mohd. Imran , M. A. H. Ahsan

The anharmonic vibrator and rotor regions in nuclei are investigated in the framework of the interacting boson model using an ensemble of random one- and two-body interactions. Despite the randomness of the interactions (in sign and size)…

Nuclear Theory · Physics 2017-11-03 R. Bijker , A. Frank

We study analytically the ground-state stability of a Bose-Einstein condensate (BEC) confined in an harmonic trap with repulsive or attractive zero-range interaction by minimizing the energy functional of the system. In the case of…

Quantum Physics · Physics 2015-06-26 Luca Salasnich

In the framework of the interacting boson model the three transitional regions (rotational-vibrational, rotational-$\gamma$-unstable and, vibrational-$\gamma$-unstable transitions) are reanalyzed. A new kind of plot is presented for…

Nuclear Theory · Physics 2012-07-30 J. E. Garcia-Ramos , C. De Coster , R. Fossion , K. Heyde

Interacting bosons or fermions give rise to some of the most fascinating phases of matter, including high-temperature superconductivity, the fractional quantum Hall effect, quantum spin liquids and Mott insulators. While these systems are…

Strongly Correlated Electrons · Physics 2017-04-28 Christopher J. Turner , Konstantinos Meichanetzidis , Zlatko Papic , Jiannis K. Pachos

The microscopic control available over cold atoms in optical lattices has opened new opportunities to study the properties of quantum spin models. While a lot of attention is focussed on experimentally realizing ground or thermal states via…

We study a one-dimensional system of strongly correlated bosons on a dynamical lattice. To this end, we extend the standard Bose-Hubbard Hamiltonian to include extra degrees of freedom on the bonds of the lattice. We show that this minimal…

We investigate the origin of the regular features observed in numerical studies of the interacting boson model with random interactions, in particular the dominance of L=0 ground states and the occurrence of vibrational and rotational band…

Nuclear Theory · Physics 2009-11-07 R. Bijker , A. Frank