2009/10/02 by Shumpei Masuda, Katsuhiro Nakamura · 239 citations
Computer Science · Physics and Astronomy · #Acceleration #Adiabatic process #Classical mechanics #Mechanics #Nonlinear system #Physics #Position (finance) #Quantum #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Quantum dynamics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.mes-hall
paper · pdf · doi:10.1098/rspa.2009.0446
published in Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences 466(2116), 1135-1154 (Royal Society)
arxiv created 2009/10/02 · openalex publication_date 2009/11/25 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a method to accelerate adiabatic dynamics of wave functions (WFs) in quantum mechanics to obtain a final adiabatic state except for the spatially uniform phase in any desired short time. In our previous work, acceleration of the dynamics of WFs was shown to obtain the final state in any short time by applying driving potential. We develop the previous theory of fast-forward to derive a driving potential for the fast-forward of adiabatic dynamics. A typical example is the fast-forward of adiabatic transport of a WF, which is the ideal transport in the sense that a stationary WF is transported to an aimed position in any desired short time without leaving any disturbance at the final time of the fast-forward. As other important examples, we show accelerated manipulations of WFs, such as their splitting and squeezing. The theory is also applicable to macroscopic quantum mechanics described by the nonlinear Schrödinger equation.