2018/04/30 by Ammar A. Kirmani, Maxim Dzero
Physics and Astronomy · #Amplitude #Asymptote #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #Integrable system #Pairing #Physics of Superconductivity and Magnetism #Quantum many-body systems #Superfluidity #Symmetry (geometry) #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1007/s10948-019-5133-1
8 pages, 4 figures
openalex created_date 2019/02/21 · arxiv created 2019/03/04 · openalex publication_date 2019/06/03 · arxiv updated 2019/06/07 · openalex updated_date 2026/08/05
We consider a problem of non-adiabatic dynamics of a 2D fermionic system with d+id-wave symmetry of paring amplitude. Under the mean-field approximation, we determine the asymptotic behavior of the pairing amplitude following a sudden change of coupling strength. We also study an extended d+id pairing system for which the long-time asymptotic states of the pairing amplitude in the collisionless regime can be determined exactly. By using numerical methods, we have identified three non-equilibrium steady states described by different long-time asymptotes of the pairing amplitude for both the non-integrable and the integrable versions of d+id-wave models. We found that despite of its lack of integrability, long-time dynamics resulting from pairing quenches in the non-integrable d+id model are essentially similar to the ones found for its exactly-integrable extended d+id model. We also obtain the long-time phase diagram of the extended d+id model through the Lax construction that exploits underlying integrability showing that the dynamic phases obtained by numerics are consistent with the dynamics of the exactly integrable approach. Both models describe a topological fermionic system with a topologically non-trivial BCS phase appearing at weak coupling strength. We show that the presence of oscillating order parameter region in the chiral d+id pairing dynamics differs from the d-wave (dx2-y2), which may be used to probe pairing symmetries of chiral superconductors.