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Paper Abstract and Keywords
Presentation 2016-11-24 13:00
[Poster Presentation] Probability generating function of a quantum parametric oscillator under an adiabatic control
Hiroaki Mishima, Yuki Izumida (Nagoya Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Transitionless tracking (TT) algorism enables a quantum system to evolve along with an adiabatic basis without the requirement of slow driving, by adding a counter-diabatic Hamiltonian which assists an adiabatic process. By applying the Husimi's method, the propagator of a transitionless quantum parametric oscillator (QPO) can be obtained. By calculating the probability generating function from the transition probability with the propagator, we found a new parameter characterizing the TT algorism. This is composed of dynamical quantities of two linearly independent classical parametric oscillators (CPOs). For these CPOs, by considering the relation between the Wornskian and Ermakov-Lewis invariant, we can show that this parameter is always unity if a counter-diabatic Hamiltonian vanishes at the endpoints of the time evolution of a transitionless QPO. This fact implies that the TT algorism succeeds since the transition probability to other states vanishes under a quantum adiabatic control with arbitrary speed.
Keyword (in Japanese) (See Japanese page) 
(in English) STA / adiabatic transport / parametric oscillator / Husmi's method / probability generating function / adiabatic invariant / Ermakov-Lewis invariant /  
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Conference Information
Committee QIT  
Conference Date 2016-11-24 - 2016-11-25 
Place (in Japanese) (See Japanese page) 
Place (in English) KEK Kobayashi-hall 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2016-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Probability generating function of a quantum parametric oscillator under an adiabatic control 
Sub Title (in English)  
Keyword(1) STA  
Keyword(2) adiabatic transport  
Keyword(3) parametric oscillator  
Keyword(4) Husmi's method  
Keyword(5) probability generating function  
Keyword(6) adiabatic invariant  
Keyword(7) Ermakov-Lewis invariant  
Keyword(8)  
1st Author's Name Hiroaki Mishima  
1st Author's Affiliation Nagoya University (Nagoya Univ.)
2nd Author's Name Yuki Izumida  
2nd Author's Affiliation Nagoya University (Nagoya Univ.)
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Date Time 2016-11-24 13:00:00 
Presentation Time 90 minutes 
Registration for QIT 
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