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An effective Hamiltonian for the Kohn-Luttinger superconductor is constructed and solved in the BCS approximation. The method is applied to the t-t' Hubbard model in two dimensions with the following results: (i) The superconducting phase…

Condensed Matter · Physics 2009-11-07 J. Mraz , R. Hlubina

The multigap superconductivity modulated by quantum confinement effects in a superlattice of quantum wells is presented. Our theoretical BCS approach captures the low-energy physics of a shape resonance in the superconducting gaps when the…

We examine the emergence of chaos in a non-linear model derived from a semiquantum Hamiltonian describing the coupling between a classical field and a quantum system. The latter corresponds to a bosonic version of a BCS-like Hamiltonian,…

Quantum Physics · Physics 2018-04-04 A. M. Kowalski , R. Rossignoli

We theoretically investigate the ground state of trapped neutral fermions with population imbalance in the BCS-BEC crossover regime. On the basis of the single-channel Hamiltonian, we perform full numerical calculations of the Bogoliubov-de…

Superconductivity · Physics 2009-11-13 T. Mizushima , M. Ichioka , K. Machida

Although the BCS theory of superconductivity is a well established theory, we have shown that the phenomenology predicted by this model is much richer than previously believed. By releasing the constraint that the attraction band is…

Superconductivity · Physics 2016-11-23 Dragos-Victor Anghel

We introduce a high dimensional symplectic map, modeling a large system consisting of weakly interacting chaotic subsystems, as a toy model to analyze the interplay between single-particle chaotic dynamics and particles interactions in…

Chaotic Dynamics · Physics 2011-11-10 Massimo Falcioni , Luigi Palatella , Simone Pigolotti , Lamberto Rondoni , Angelo Vulpiani

Recently an N=1 supersymmetric model of BCS superconductivity was proposed realizing spontaneous symmetry breaking of a U(1)_R symmetry. Due to scalar contributions the superconducting phase transition turned out to be first order rather…

High Energy Physics - Theory · Physics 2015-06-12 Alejandro Barranco

It is shown that a non-magnetic metallic band in the presence of an antiferromagnetic background coupled only by the exchange interaction develops a superconducting instability similar to the one described by BCS theory plus additional…

Superconductivity · Physics 2013-09-03 Fernando A. Reboredo

We use a Hamiltonian dynamics to discuss the statistical mechanics of long-lasting quasi-stationary states particularly relevant for long-range interacting systems. Despite the presence of an anomalous single-particle velocity distribution,…

Statistical Mechanics · Physics 2009-11-11 Fulvio Baldovin , Enzo Orlandini

We consider the motion of ballistic electrons in a miniband of a semiconductor superlattice (SSL) under the influence of an external, time-periodic electric field. We use the semi-classical balance-equation approach which incorporates…

The micro-bunching instability is a longitudinal instability that leads to dynamical deformations of the charge distribution in the longitudinal phase space. It affects the longitudinal charge distribution, and thus the emitted coherent…

Accelerator Physics · Physics 2024-01-17 Miriam Brosi

This review is a kinetic theory study investigating the effects of inelasticity on the structure of the non-equilibrium states, in particular on the behavior of the velocity distribution in the high energy tails. Starting point is the…

Statistical Mechanics · Physics 2007-05-23 R. Brito , M. H. Ernst

Motivated by recent ultafast pump probe experiments on high-temperature superconductors, we discuss the transient dynamics of a d-wave BCS model after a quantum quench of the interaction parameter. We find that the existence of gap nodes,…

Superconductivity · Physics 2015-12-17 Francesco Peronaci , Marco Schirò , Massimo Capone

Driven-dissipative light-matter systems can exhibit collective nonequilibrium phenomena due to loss and gain processes on the one hand and effective photon-photon interactions on the other hand. As generic example we study a bosonic lattice…

Quantum Physics · Physics 2024-09-17 Arkadiusz Kosior , Karol Gietka , Farokh Mivehvar , Helmut Ritsch

The lattice Boltzmann equation describes the evolution of the velocity distribution function on a lattice in a manner that macroscopic fluid dynamical behavior is recovered. Although the equation is a derivative of lattice gas automata, it…

comp-gas · Physics 2008-02-03 James D. Sterling , Shiyi Chen

We prove that in the reduced quartic BCS model with an imaginary external magnetic field a spontaneous U(1)-symmetry breaking (SSB) and an off-diagonal long range order (ODLRO) occur. The system is defined on a hyper-cubic lattice with…

Mathematical Physics · Physics 2021-04-20 Yohei Kashima

We investigate the stability of supercurrents in a Bose-Einstein condensate with one-dimensional spin-orbit and Raman couplings. The consequence of the lack of Galilean invariance is explicitly discussed. We show that in the plane-wave…

Quantum Gases · Physics 2013-06-13 Tomoki Ozawa , Lev P. Pitaevskii , Sandro Stringari

We consider the dynamic large deviation behaviour of Kac's collisional process for a range of initial conditions including equilibrium. We prove an upper bound with a rate function of the type which has previously been found for kinetic…

Probability · Mathematics 2022-05-30 Daniel Heydecker

We revisit the stability of the superconducting state within mean-field theory in the presence of repulsive pairing interactions, focusing on multiband systems where such channels naturally arise. We show that, when repulsion is present,…

Superconductivity · Physics 2025-10-21 Laura Fanfarillo , Yifu Cao , Chandan Setty , Sergio Caprara , Peter J. Hirschfeld

By performing experiments with thin-film resonators of NbSi, we elucidate a decoherence mechanism at work in disordered superconductors. This decoherence is caused by charged Two Level Systems (TLS) which couple to the conduction electrons…