A generic framework of adiabatic approximation for nonlinear evolutions
Sign Up to like & getrecommendations! Published in 2022 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-022-01527-0
Abstract: In the study of evolution equations, the method of adiabatic approximation is an essential tool to reduce an infinite-dimensional dynamical system to a simpler, possibly finite-dimensional one. In this paper, we formulate a generic scheme… read more here.
Keywords: generic framework; adiabatic approximation; approximate solitons; scheme ... See more keywords
Generalized adiabatic approximation to the quantum Rabi model
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review A"
DOI: 10.1103/physreva.104.033712
Abstract: The quantum Rabi model (QRM) describes the interaction between a two-level system (qubit) and a quantum harmonic oscillator. In the limit where the qubit frequency is smaller than the harmonic frequency, the QRM can be… read more here.
Keywords: adiabatic approximation; rabi model; quantum rabi; approximation ... See more keywords
Quasiadiabatic Grover search via the Wentzel-Kramers-Brillouin approximation
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DOI: 10.1103/physreva.96.012329
Abstract: In various applications one is interested in quantum dynamics at intermediate evolution times, for which the adiabatic approximation is inadequate. Here we develop a quasi-adiabatic approximation based on the WKB method, designed to work for… read more here.
Keywords: approximation; quasiadiabatic grover; grover search; grover ... See more keywords
Heavy quarkonium suppression beyond the adiabatic limit
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.100.076019
Abstract: Many prior studies of in-medium quarkonium suppression have implicitly made use of an adiabatic approximation in which it was assumed that the heavy quark potential is a slowly varying function of time. In the adiabatic… read more here.
Keywords: adiabatic approximation; time; adiabatic limit; quarkonium suppression ... See more keywords
WKB and “cubic-WKB” methods as an adiabatic approximation
Sign Up to like & getrecommendations! Published in 2019 at "Modern Physics Letters A"
DOI: 10.1142/s021773231950250x
Abstract: This paper shows that WKB wave function can be expressed in the form of an adiabatic expansion. To build a bridge between two widely invoked approximation schemes seems pedagogically instructive. Further, “cubic-WKB” method that has… read more here.
Keywords: cubic wkb; adiabatic approximation; wave function; wkb ... See more keywords
Quantifying Nonadiabaticity in Major Families of Superconductors
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DOI: 10.3390/nano13010071
Abstract: The classical Bardeen–Cooper–Schrieffer and Eliashberg theories of the electron–phonon-mediated superconductivity are based on the Migdal theorem, which is an assumption that the energy of charge carriers, kBTF, significantly exceeds the phononic energy, ℏωD, of the… read more here.
Keywords: major families; nonadiabaticity; families superconductors; adiabatic approximation ... See more keywords