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We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and momentum space, on the distribution of the number of bosons,…

Mathematical Physics · Physics 2007-05-23 Volker Betz , Fumio Hiroshima , Jozsef Lorinczi , Robert A. Minlos , Herbert Spohn

The spectacular experimental results of the last few years in cavity quantum electrodynamics and trapped ions research has led to very high level laboratory performances. Such a stimulating situation essentially stems from two decisive…

Quantum Physics · Physics 2015-06-26 A. Messina , S. Maniscalco , A. Napoli

We theoretically study harmonically trapped one-dimensional Bose gases (e.g., Li, Na, K, Rb, etc.) with multibands occupied, focusing on effects of higher-energy bands. Combining the Ginzburg-Landau theory with the bosonization techniques,…

Other Condensed Matter · Physics 2008-07-22 Akiyuki Tokuno , Masahiro Sato

The dominance of S and D pairs in the description of deformed nuclei is one of the facts that provided sustain to the Interacting Boson Approximation. In Ref.(J. Dukelsky and S. Pittel, Phys. Rev. Lett. 86, 4791, 2001.), using an exactly…

Nuclear Theory · Physics 2009-11-10 G. G. Dussel , H. M. Sofia

Topological concepts have been employed to understand the ground states of many strongly correlated systems, but it is still quite unclear if and how topology manifests itself in the relaxation dynamics. Here we uncover emergent topological…

Quantum Gases · Physics 2025-03-31 Wang Huang , Xu-Chen Yang , Rui Cao , Ying-Hai Wu , Jianmin Yuan , Yongqiang Li

Recent calculations using random two-body interactions showed a preponderance of J(P)=0(+) ground states, despite the fact that there is no strong pairing character in the force. We carry out an analysis of a system of identical particles…

Nuclear Theory · Physics 2009-10-31 R. Bijker , A. Frank , S. Pittel

A rotationally invariant random interaction ensemble was realized in a single-j fermion model. The dominance of ground states with zero and maximum spin was confirmed and explained with a statistical approach based on the random coupling of…

Nuclear Theory · Physics 2009-11-06 D. Mulhall , A. Volya , V. Zelevinsky

In this work, an effective fermion model with particular higher order interactions given by: $I_{II} = \sum_n^N g_{2^n} (\bar{\psi}_a \psi_a)^{2^n}$, for finite $N$, is investigated by means of the auxiliary field method by taking into…

High Energy Physics - Phenomenology · Physics 2016-05-30 Fabio L. Braghin

We study mixtures of spinless bosons and not spin-polarized fermions loaded in two dimensional optical lattices. We approach the problem of the ground state stability within the framework of the linear response theory; by the mean of an…

Other Condensed Matter · Physics 2009-11-13 Giovanni Mazzarella

We develop an effective field theory to describe the superfluid pairing in strongly interacting fermions with arbitrary short-range attractions, by extending Kaplan's idea of coupling fermions to a fictitious boson state in Nucl. Phys. B…

Quantum Gases · Physics 2020-01-15 Jianshen Hu , Fan Wu , Lianyi He , Xia-Ji Liu , Hui Hu

We study a quantum annealer where bosons mediate the Ising-type interactions between qubits. We compare the efficiency of ground state preparation for direct and mediated couplings, for which Ising and spin-boson Hamiltonian are employed…

Quantum Physics · Physics 2018-12-05 Manuel Pino , Juan José García-Ripoll

We use scaling results to identify the crossover to mean-field behavior of equilibrium statistical mechanics models on a variant of the small world network. The results are generalizable to a wide-range of equilibrium systems. Anomalous…

Statistical Mechanics · Physics 2009-11-10 M. B. Hastings

Basic properties of the nuclear tensor mean fields are reviewed, and their role in changing the shell structure and masses of nuclei is analyzed within the spherical Hartree-Fock-Bogolyubov approach.

Nuclear Theory · Physics 2017-08-23 J. Dobaczewski

We present a statistical mechanics description to study the ground state of quantum systems. In this approach, averages for the complete system are calculated over the non-interacting energy levels. Taking different interaction parameter,…

Statistical Mechanics · Physics 2015-05-20 Andre M. C. Souza

The ground and low-lying collective states of a rotating system of $N=3$ bosons harmonically confined in quasi-two-dimension and interacting via repulsive finite-range Gaussian potential is studied in weakly to moderately interacting…

Quantum Gases · Physics 2016-05-03 Mohd. Imran , M. A. H. Ahsan

The structure of exotic nuclei sheds new light on the linkage of the nuclear structure to the nucleonic interaction. The self-consistent mean-field (SCMF) theories are useful to investigate this linkage, which are applicable to many nuclei…

Nuclear Theory · Physics 2020-05-19 H. Nakada

Recent theoretical developments in using the Interacting Boson Model to describe nuclear structure effects in fusion reactions below the Coulomb barrier are reviewed. Methods dealing with linear and all orders coupling between the nuclear…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , S. Kuyucak

The understanding of the behaviour of systems of identical composite bosons has progressed significantly in connection with the analysis of the entanglement between constituents and the development of coboson theory. The basis of these…

Active systems, which are driven out of equilibrium by local non-conservative forces, exhibit unique behaviors and structures with potential utility for the design of novel materials. An important and difficult challenge along the path…

Soft Condensed Matter · Physics 2022-08-09 Laura Tociu , Gregory Rassolov , Étienne Fodor , Suriyanarayanan Vaikuntanathan

In this paper we present a systematic analysis on the average interaction between the last protons and neutrons in atomic nuclei, which can be extracted from the double differences of nuclear binding energies. The empirical average…

Nuclear Theory · Physics 2012-10-19 Chong Qi
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