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We study the phase diagram of a two component Fermi system with a weak attractive interaction. Our analysis includes the leading order Hartree energy shifts and pairing correlations at finite temperature and chemical potential difference…

Superconductivity · Physics 2009-01-06 Rishi Sharma , Sanjay Reddy

One-particle properties of non-interacting Fermions in a one-dimensional harmonic trap and at zero temperature are studied. Exact expressions and asymptotic results for large Fermion number N are given for the particle density distribution…

Quantum Physics · Physics 2009-11-06 F. Gleisberg , W. Wonneberger , U. Schloeder , C. Zimmermann

The key feature of time-dependent dynamics in a paired Fermi superfluid is the presence of a large number of independent degrees of freedom---the pairing amplitudes of fermions with different momenta. We argue that useful prototypes of this…

High Energy Physics - Theory · Physics 2014-06-09 S. Khlebnikov

Using the Moshinsky model, we analyze the spatial correlation and the entanglement of the ground state across different bipartitions of a system composed by $N$ pairs of harmonically confined fermions of two different interacting species.…

Quantum Physics · Physics 2025-05-27 M. D. Jiménez , W. J. Díaz , E. Cuestas , A. Valdés-Hernández , A. P. Majtey

The rainbow chain is an inhomogenous exactly solvable local spin model that, in its ground state, displays a half-chain entanglement entropy growing linearly with the system size. Although many exact results about the rainbow chain are…

Strongly Correlated Electrons · Physics 2017-03-20 Javier Rodríguez-Laguna , Jérôme Dubail , Giovanni Ramírez , Pasquale Calabrese , Germán Sierra

We investigate the effect of quantum phase slips on a helical quantum wire coupled to a superconductor by proximity. The effective low-energy description of the wire is that of a Majorana chain minimally coupled to a dynamical…

Mesoscale and Nanoscale Physics · Physics 2014-04-24 B. van Heck , E. Cobanera , J. Ulrich , F. Hassler

We examine the weakly interacting atoms in an ultracold Fermi gas leading to a state of macroscopic coherence, from a theoretical perspective. It has been shown that this state can be described as a fermionic coherent state. These coherent…

Quantum Physics · Physics 2013-04-05 Arnab Ghosh , Sudarson Sekhar Sinha , Deb Shankar Ray

We consider the Ising phase of the antiferromagnetic XXZ Heisenberg chain on a finite-size lattice with N sites.We compute the large $N$ behavior of the spin stiffness, obtaining the correlation length \xi. We use our results to discuss the…

Strongly Correlated Electrons · Physics 2009-11-10 Shi-Jian Gu , Vitor M. Pereira , N. M. R. Peres

In this work we study many-body 'steady states' that arise in the non-Hermitian generalisation of the non-interacting Su-Schrieffer-Heeger model at a finite density of fermions. We find that the hitherto known phase diagrams for this…

Mesoscale and Nanoscale Physics · Physics 2022-05-17 Ayan Banerjee , Suraj S. Hegde , Adhip Agarwala , Awadhesh Narayan

We study the out-of-equilibrium properties of $1+1$ dimensional quantum electrodynamics (QED), discretized via the staggered-fermion Schwinger model with an Abelian $\mathbb{Z}_{n}$ gauge group. We look at two relevant phenomena: first, we…

In the standard model, stabilization of a classically unstable cosmic string may occur through the quantum fluctuations of a heavy fermion doublet. We review numerical results from a semiclassical expansion in a reduced version of the…

High Energy Physics - Theory · Physics 2015-08-12 H. Weigel , M. Quandt , N. Graham

We demonstrate an exact mapping of a class of models of two interacting qubits in thermal reservoirs to two separate spin-bath problems. Based on this mapping, exact numerical simulations of the qubits dynamics can be performed, beyond the…

Quantum Physics · Physics 2015-06-05 Lian-Ao Wu , Claire X. Yu , Dvira Segal

Strongly correlated Fermi systems are among the most intriguing, best experimentally studied and fundamental systems in physics. These are, however, in defiance of theoretical understanding. The ideas based on the concepts like Kondo…

Strongly Correlated Electrons · Physics 2010-02-22 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

We consider fermionic chains where the two halves are either metals with different bandwidths or a metal and an insulator. Both are coupled together by a special bond. We study the ground-state entanglement entropy between the two pieces,…

Statistical Mechanics · Physics 2015-07-09 Viktor Eisler , Ming-Chiang Chung , Ingo Peschel

An outstanding idea originally introduced by Greenberg is to investigate whether there is equivalence between intermediate statistics, which may be different from anyonic statistics, and q-deformed particle algebra. Also, a model to be…

Statistical Mechanics · Physics 2012-05-07 Abdullah Algin , Mustafa Senay

Thermal duality is a relationship between the behaviour of heterotic string models of the $E(8)x E(8)$ or $SO(32)$ types at inversely related temperatures, a variant of T duality in the Euclidean regime. This duality would have consequences…

High Energy Physics - Theory · Physics 2015-09-17 Michael Hewitt

Understanding the confinement mechanism in gauge theories and the universality of effective string-like descriptions of gauge flux tubes remains a fundamental challenge in modern physics. We probe string modes of motion with dynamical…

We study finite-temperature properties of strongly correlated fermions in two-dimensional optical lattices by means of numerical linked cluster expansions, a computational technique that allows one to obtain exact results in the…

Strongly Correlated Electrons · Physics 2015-03-13 Ehsan Khatami , Marcos Rigol

Using the adiabatic switching of interactions, we establish a condition for the existence of electronic quasiparticles in a Luttinger liquid. It involves a characteristic interaction strength proportional to the inverse square root of the…

Condensed Matter · Physics 2009-10-22 R. Mélin , B. Douçot , P. Butaud
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