Nonequilibrium superconductivity in specimens with small transverse dimensions

Galaiko, V.P.; Dmitriev, V. M.

doi:10.1070/pu1979v022n06abeh005578

Cited by 28 publications

(60 citation statements)

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“…The total scattering amplitude for this case has been studied in Ref. [2] [see Eq. (71) therein], which also estimates the corresponding rate as…”

Section: Steady-state Molecular Productionmentioning

confidence: 99%

“…To the lowest order in the interaction, the corresponding scattering amplitudes are [83] A b (p 1 ,p 2 …”

Section: Steady-state Molecular Productionmentioning

confidence: 99%

“…Early studies [1][2][3][4][5][6] addressed small deviations from equilibrium using linearized equations of motion. An important result was obtained by Volkov and Kogan [3], who discovered a power law oscillatory attenuation of the Bardeen-Cooper-Schriffer (BCS) order parameter for nonequilibrium initial conditions close to the superconducting ground state.…”

Section: Introductionmentioning

confidence: 99%

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Quantum quench phase diagrams of ans-wave BCS-BEC condensate

et al. 2015

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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 main asymptotic states (nonequilibrium phases), which are qualitatively similar to those in other fermionic condensates defined by a global complex order parameter. In phase I the amplitude of the order parameter vanishes as a power law, in phase II it goes to a nonzero constant, and in phase III it oscillates persistently. We construct exact quench phase diagrams that predict the asymptotic state (including the many-body wave function) depending on the initial and final detunings and on the Feshbach resonance width. Outside of the weak-coupling regime, both the mechanism and the time dependence of the relaxation of the amplitude of the order parameter in phases I and II are modified. Also, quenches from arbitrarily weak initial to sufficiently strong final coupling do not produce persistent oscillations in contrast to the behavior in the BCS regime. The most remarkable feature of coherent condensate dynamics in various fermion superfluids is an effective reduction in the number of dynamic degrees of freedom as the evolution time goes to infinity. As a result, the long-time dynamics can be fully described in terms of just a few new collective dynamical variables governed by the same Hamiltonian only with "renormalized" parameters. Combining this feature with the integrability of the underlying (e.g., the two-channel) model, we develop and consistently present a general method that explicitly obtains the exact asymptotic state of the system.

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“…The total scattering amplitude for this case has been studied in Ref. [2] [see Eq. (71) therein], which also estimates the corresponding rate as…”

Section: Steady-state Molecular Productionmentioning

confidence: 99%

“…To the lowest order in the interaction, the corresponding scattering amplitudes are [83] A b (p 1 ,p 2 …”

Section: Steady-state Molecular Productionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum quench phase diagrams of ans-wave BCS-BEC condensate

et al. 2015

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“…In these problems the goal is to describe the dynamics of a many-body system following a sudden perturbation that drove the system out of an equilibrium. The system in question can be a BCS superconductor [1,2,3,4,5,6,7,8,9,10,11], coupled FermiBose condensates [12,13], or a single electronic spin interacting with many nuclear spins (the central spin model) [14,15,16,17,18,19,20]. A common feature of all these problems is that they can be formulated in terms of spin Hamiltonians, which belong to a class of integrable systems known as Gaudin magnets [21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Integrable dynamics of coupled Fermi-Bose condensates

2005

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We study the mean-field dynamics of a fermionic condensate interacting with a single bosonic mode (a generalized Dicke model). This problem is integrable and can be mapped onto a corresponding BCS problem. We derive the general solution and a full set of integrals of motion for the time evolution of coupled Fermi-Bose condensates. The present paper complements our earlier study of the dynamics of the BCS model (cond-mat/0407501 and cond-mat/0505493). Here we provide a self-contained introduction to the variable separation method, which enables a complete analytical description of the evolution of the generalized Dicke, BCS, and other similar models.

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“…This presents a significant challenge as conventional techniques are often inadequate for the description of these phenomena. In particular, there have been major advances in the theory of dynamical fermionic pairing in the collisionless regime [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. This problem is long known to be accurately described by the time-dependent Bogoliubov-de Gennes equations, which in this case are a set of coupled nonlinear integro-differential equations [24,25,27,30].…”

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confidence: 99%

Normal and anomalous solitons in the theory of dynamical Cooper pairing

Yuzbashyan

2008

Phys. Rev. B

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We obtain multi-soliton solutions of the time-dependent Bogoliubov-de Gennes equations or, equivalently, Gorkov equations that describe the dynamics of a fermionic condensate in the dissipationless regime. There are two kinds of solitons -normal and anomalous. At large times, normal multi-solitons asymptote to unstable stationary states of the BCS Hamiltonian with zero order parameter (normal states), while the anomalous ones tend to eigenstates characterized by a nonzero anomalous average. Under certain circumstances, multi-soliton solutions break up into sums of single solitons. In the linear analysis near the stationary states, solitons correspond to unstable modes. Generally, they are nonlinear extensions of these modes, so that a stationary state with k unstable modes gives rise to a k-soliton solution. We relate parameters of the multi-solitons to those of the asymptotic stationary state, which determines the conditions necessary for exciting solitons. We further argue that the dynamics in many physical situations is multi-soliton.

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Nonequilibrium superconductivity in specimens with small transverse dimensions

Cited by 28 publications

References 1 publication

Quantum quench phase diagrams of ans-wave BCS-BEC condensate

Quantum quench phase diagrams of ans-wave BCS-BEC condensate

Integrable dynamics of coupled Fermi-Bose condensates

Normal and anomalous solitons in the theory of dynamical Cooper pairing

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