Optimal state transfer of a single dissipative two-level system

Hamza Jirari; Ning Wu

doi:10.1140/epjb/e2016-60523-y

Optimal state transfer of a single dissipative two-level system

Hamza Jirari^*, Ning Wu

^*Corresponding author for this work

Princeton University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Optimal state transfer of a single two-level system (TLS) coupled to an Ohmic boson bath via off-diagonal TLS-bath coupling is studied by using optimal control theory. In the weak system-bath coupling regime where the time-dependent Bloch-Redfield formalism is applicable, we obtain the Bloch equation to probe the evolution of the dissipative TLS in the presence of a time-dependent external control field. By using the automatic differentiation technique to compute the gradient for the cost functional, we calculate the optimal transfer integral profile that can achieve an ideal transfer within a dimer system in the Fenna-Matthews-Olson (FMO) model. The robustness of the control profile against temperature variation is also analyzed.

Original language	English
Article number	100
Journal	European Physical Journal B
Volume	89
Issue number	4
DOIs	https://doi.org/10.1140/epjb/e2016-60523-y
Publication status	Published - 1 Apr 2016
Externally published	Yes

Keywords

Solid State and Materials

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10.1140/epjb/e2016-60523-y

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AB - Optimal state transfer of a single two-level system (TLS) coupled to an Ohmic boson bath via off-diagonal TLS-bath coupling is studied by using optimal control theory. In the weak system-bath coupling regime where the time-dependent Bloch-Redfield formalism is applicable, we obtain the Bloch equation to probe the evolution of the dissipative TLS in the presence of a time-dependent external control field. By using the automatic differentiation technique to compute the gradient for the cost functional, we calculate the optimal transfer integral profile that can achieve an ideal transfer within a dimer system in the Fenna-Matthews-Olson (FMO) model. The robustness of the control profile against temperature variation is also analyzed.

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Optimal state transfer of a single dissipative two-level system

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