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Paper Abstract and Keywords
Presentation 2018-11-26 10:10
Phase Reduction Theory for Quantum Synchronization under Semiclassical Approximation
Yuzuru Kato, Hiroya Nakao (Titech)
Abstract (in Japanese) (See Japanese page) 
(in English) The phase reduction theory is a standard framework for analyzing rhythmic dynamics of weakly perturbed classical limit-cycle oscillators. It has been widely used for analyzing synchronization properties of classical limit-cycle oscillators, but it has not been formulated for quantum limit-cycle oscillators in a general way. In this paper, we formulate a phase reduction theory for quantum limit-cycle oscillators. We derive an approximate one-dimensional classical stochastic differential equation describing phase dynamics of the oscillator from a general master equation for quantum dissipative systems exhibiting limit-cycle oscillations. The density matrix and power spectrum of the oscillator can be explicitly reconstructed from the reduced phase equation. As an example, we analyze synchronization properties of a quantum van der Pol oscillator with harmonic driving and squeezing.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum Synchronization / Phase Reduction / Semiclassical Approximation / Quasiprobability / / / /  
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Conference Information
Committee QIT  
Conference Date 2018-11-26 - 2018-11-27 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Tokyo 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2018-11-QIT 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Phase Reduction Theory for Quantum Synchronization under Semiclassical Approximation 
Sub Title (in English)  
Keyword(1) Quantum Synchronization  
Keyword(2) Phase Reduction  
Keyword(3) Semiclassical Approximation  
Keyword(4) Quasiprobability  
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1st Author's Name Yuzuru Kato  
1st Author's Affiliation Tokyo Institute of Technology (Titech)
2nd Author's Name Hiroya Nakao  
2nd Author's Affiliation Tokyo Institute of Technology (Titech)
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Speaker Author-1 
Date Time 2018-11-26 10:10:00 
Presentation Time 20 minutes 
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