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We study the interplay of vortices and disorder in a two-dimensional disordered superconductor at zero temperature described by the Bogoliubov-de Gennes (BdG) self-consistent formalism for lattices of sizes up to $100\times100$ where the…

Superconductivity · Physics 2024-05-24 Bo Fan , Antonio M. García-García

We study the interplay of superconductivity and disorder by solving numerically the Bogoliubov-de-Gennes equations in a two dimensional lattice of size $80\times80$ which makes possible to investigate the weak-coupling limit. In contrast…

Superconductivity · Physics 2020-03-25 Bo Fan , Antonio M. García-García

We study the effect of disorder symmetry in a disordered s-wave superconductor. We begin with an attractive Hubbard model on a two-dimensional square lattice in the presence of diagonal- and off-diagonal disorder. The model is studied…

Superconductivity · Physics 2013-02-11 Sanjeev Kumar , Prabuddha B. Chakraborty

The effects of long-range anisotropic elastic deformations on electronic structure in superconductors are analyzed within the framework of the Bogoliubov-de Gennes equations. Cases of twin boundaries and isolated defects are considered as…

Superconductivity · Physics 2009-11-10 Jian-Xin Zhu , K. H. Ahn , Z. Nussinov , T. Lookman , A. V. Balatsky , A. R. Bishop

We numerically investigate the quench expansion dynamics of an initially confined state in a two-dimensional Gross-Pitaevskii lattice in the presence of external disorder. The expansion dynamics is conveniently described in the control…

Quantum Gases · Physics 2020-09-09 Arindam Mallick , Thudiyangal Mithun , Sergej Flach

We systematically investigate the equilibrium and the nonequilibrium quench dynamics of three-dimensional disordered quadrupolar Bose-Einstein condensates. Within the Bogoliubov-Huang-Meng approximation, we show that the combined effect of…

Disordered Systems and Neural Networks · Physics 2025-08-07 Abdelaali Boudjemaa

We determine the exact dynamics of an initial Bardeen-Cooper-Schrieffer (BCS) state of ultra-cold atoms in a deep hexagonal optical lattice. The dynamical evolution is triggered by a quench of the lattice potential, such that the…

Quantum Gases · Physics 2016-08-09 Marlon Nuske , L. Mathey , Eite Tiesinga

We study the dynamic response of an s-wave BCS-BEC (atomic-molecular) condensate to detuning quenches within the two channel model beyond the weak coupling BCS limit. At long times after the quench, the condensate ends up in one of three…

Quantum Gases · Physics 2015-04-01 Emil A. Yuzbashyan , Maxim Dzero , Victor Gurarie , Matthew S. Foster

We present a numerical study of the interaction quench dynamics in a superfluid ultracold Fermi gas confined in a three-dimensional cigar-shaped harmonic trap. In the present paper we investigate the amplitude mode of the superfluid order…

Quantum Gases · Physics 2018-11-14 S. Hannibal , P. Kettmann , M. D. Croitoru , V. M. Axt , T. Kuhn

We identify a time crystal phase characterized by a frequency half of the driving frequency in disordered superconductors by employing the time dependent Bogoliubov-de Gennes formalism at zero temperature with a periodically driven coupling…

Superconductivity · Physics 2024-11-21 Bo Fan , Zi Cai , Antonio M. García-García

We study a disordered weakly-coupled superconductor around the Anderson transition by solving numerically the Bogoliubov-de Gennes (BdG) equations in a three dimensional lattice of size up to $20\times20\times20$ in the presence of a random…

Superconductivity · Physics 2020-11-18 Bo Fan , Antonio M. García-García

The growth of superconducting order after an interaction quench in a hexagonal lattice is studied. The cases of both time-reversal (TR) preserving graphene, as well as the TR broken Haldane model are explored. Spin singlet superconducting…

Superconductivity · Physics 2017-11-08 Hossein Dehghani , Aditi Mitra

We consider excitation of Higgs modes via the modulation of the BCS coupling within the Migdal-Eliashberg-Keldysh theory of time-dependent superconductivity. Despite the presence of phonons, which break integrability, we observe Higgs…

Superconductivity · Physics 2025-01-15 Andrey Grankin , Victor Galitski , Vadim Oganesyan

We study post-quench dynamics of charge-density-wave (CDW) order in the square-lattice $t$-$V$ model. The ground state of this system at half-filling is characterized by a checkerboard modulation of particle density. A generalized…

Statistical Mechanics · Physics 2024-06-18 Lingyu Yang , Yang Yang , Gia-Wei Chern

We study the superconducting proximity effect in inhomogeneous systems in which a disordered or quasicrystalline normal-state wire is connected to a BCS superconductor. We self-consistently compute the local superconducting order parameters…

Superconductivity · Physics 2020-11-04 Gautam Rai , Stephan Haas , Anuradha Jagannathan

We numerically investigate the characteristics of chaos evolution during wave packet spreading in two typical one-dimensional nonlinear disordered lattices: the Klein-Gordon system and the discrete nonlinear Schr\"{o}dinger equation model.…

Chaotic Dynamics · Physics 2018-12-05 B. Senyange , B. Many Manda , Ch. Skokos

We study the dynamics and the resulting state after relaxation in a quasi-disordered integrable lattice system after a sudden quench. Specifically, we consider hard-core bosons in an isolated one-dimensional geometry in the presence of a…

Statistical Mechanics · Physics 2012-11-19 Christian Gramsch , Marcos Rigol

We report on a numerical study of disorder effects in 2D d-wave BCS superconductors. We compare exact numerical solutions of the Bogoliubov-deGennes (BdG) equations for the density of states $\rho(E)$ with the standard T-matrix…

Superconductivity · Physics 2009-10-31 W. A. Atkinson , P. J. Hirschfeld , A. H. MacDonald

We use a modified Shan-Chen, noiseless lattice-BGK model for binary immiscible, incompressible, athermal fluids in three dimensions to simulate the coarsening of domains following a deep quench below the spinodal point from a symmetric and…

Soft Condensed Matter · Physics 2009-11-10 Nélido González-Segredo , Maziar Nekovee , Peter V. Coveney

We present a numerical study of the Higgs mode in an ultracold confined Fermi gas after an interaction quench and find a dynamical vanishing of the superfluid order parameter. Our calculations are done within a microscopic density-matrix…

Quantum Gases · Physics 2018-05-21 S. Hannibal , P. Kettmann , M. D. Croitoru , V. M. Axt , T. Kuhn
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