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By removing one empty site between two occupied sites, we map the ground states of chains of hardcore bosons and spinless fermions with infinite nearest-neighbor repulsion to ground states of chains of hardcore bosons and spinless fermions…

强关联电子 · 物理学 2015-05-13 Siew-Ann Cheong , Christopher L. Henley

We propose a microscopic effective interaction to treat pairing correlations in the $^{1}S_0$ channel. It is introduced by recasting the gap equation written in terms of the bare force into a fully equivalent pairing problem. Within this…

核理论 · 物理学 2009-11-10 T. Duguet

We present a generalization of the two-body contact interaction for non-relativistic particles trapped in one dimension. The particles interact only when they are a distance c apart. The competition of the interaction length scale with the…

量子物理 · 物理学 2024-08-29 G. Bougas , N. L. Harshman , P. Schmelcher

The effects of final state interactions (FSI) in hadronic B-decays are investigated. The model for FSI, based on Regge phenomenology of high-energy hadronic interactions is proposed. It is shown that this model explains the pattern of…

高能物理 - 唯象学 · 物理学 2010-01-06 A. B. Kaidalov , M. I. Vysotsky

It is well known that statistical mechanics systems exhibit subtle behavior in high dimensions. In this paper, we show that certain natural soft-core models, such as the Gaussian core model, have unexpectedly complex ground states even in…

统计力学 · 物理学 2009-11-13 Henry Cohn , Abhinav Kumar

We study ground-state correlation functions in one- and two-dimensional lattice models of interacting spinful fermions - BCS-like models, which exhibit continuous quantum phase transitions. The considered models originate from a…

统计力学 · 物理学 2015-02-23 Mariusz Adamski , Janusz Jędrzejewski , Taras Krokhmalskii

We study the ground state (GS) many-body quantum entanglement of two different transverse field models on a quasi-2D square lattice relevant to a Hydrogen-bonded crystal, i.e, squaric acid. We measure the genuine multipartite…

强关联电子 · 物理学 2021-02-01 Vikas Vijigiri , K G Paulson , Saptarshi Mandal , A M Jayannavar

Exchange interaction strongly influences the long-range behaviour of localised electron orbitals. It violates the oscillation theorem (creates extra nodes) and produces a power-law decay instead of the usual exponential decrease at large…

材料科学 · 物理学 2012-12-12 V. V. Flambaum

We study a system of particles in two dimensions interacting via a dipolar long-range potential $D/r^3$ and subject to a square-lattice substrate potential $V({\bf r})$ with amplitude $V$ and lattice constant $b$. The isotropic interaction…

统计力学 · 物理学 2016-08-24 Barbara Gränz , Sergey E. Koshunov , Vadim B. Geshkenbein , Gianni Blatter

We consider the one-dimensional spinless Falicov-Kimball model of itinerant fermionic particles (``spinless electrons''), which can hop between nearest-neighbour sites only, and of immobile particles (``classical ions''), with an on-site…

强关联电子 · 物理学 2007-05-23 J. Jedrzejewski , T. Krokhmalskii , O. Derzhko

Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

量子气体 · 物理学 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

We investigate the ground state of a system of interacting particles in small nonlinear lattices with M > 2 sites, using as a prototypical example the discrete nonlinear Schroedinger equation that has been recently used extensively in the…

软凝聚态物质 · 物理学 2007-05-23 P. Buonsante , P. Kevrekidis , V. Penna , A. Vezzani

In this paper we present a detailed and exact study of the probability density function $P(F)$ of the total force $F$ acting on a point particle belonging to a perturbed lattice of identical point sources of a power law pair interaction.…

统计力学 · 物理学 2009-11-11 Andrea Gabrielli

Few-body physics plays a central role in many branches of physics, such as nuclear physics and atomic physics. Advances in controlling ultra-cold quantum gases provide an ideal testbed for few-body physics theory. In this work, we study…

量子气体 · 物理学 2026-01-09 Zihan Li , Son T. Nguyen

We derive a lower bound on the ground state energy of the Hubbard model for given value of the total spin. In combination with the upper bound derived previously by Giuliani, our result proves that in the low density limit, the leading…

数学物理 · 物理学 2009-11-13 Robert Seiringer , Jun Yin

The ground state of an electron gas is characterized by the interparticle spacing to the effective Bohr radius ratio r_s=a/a_B*. For polarized electrons on a two dimensional square lattice with Coulomb repulsion, we study the threshold…

介观与纳米尺度物理 · 物理学 2009-11-10 Houman Falakshahi , Zoltán Ádám Németh , Jean-Louis Pichard

In the dilute limit, the properties of fermionic lattice models with short-range attractive interactions converge to those of a dilute Fermi gas in continuum space. We investigate this connection using mean-field and we show that the…

量子气体 · 物理学 2012-01-31 A. Privitera , M. Capone

We propose a Pfaffian-like Ansatz for the ground state of bosons subject to 3-body infinite repulsive interactions in a 1D lattice. Our Ansatz consists of the symmetrization over all possible ways of distributing the particles in two…

其他凝聚态物理 · 物理学 2009-11-11 B. Paredes , T. Keilmann , J. I. Cirac

We study synchronization in a system of phase-only oscillators residing on the sites of a one-dimensional periodic lattice. The oscillators interact with a strength that decays as a power law of the separation along the lattice length and…

混沌动力学 · 物理学 2013-12-04 Shamik Gupta , Max Potters , Stefano Ruffo

We show that, on a $d-$dimensional hypercubic lattice with $d>1$, conserved-mass transport processes, with {\it multidirectional} hopping that respect all symmetries of the lattice, exhibit power-law correlations for generic parameter…

统计力学 · 物理学 2025-10-27 Animesh Hazra , Tanmoy Chakraborty , Anirban Mukherjee , Punyabrata Pradhan