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Volumn 80, Issue 5, 2009, Pages

Driving quantum systems into decoherence-free subspaces by Lyapunov control

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED SYSTEMS; CONTROL FIELDS; DECOHERENCE-FREE SUBSPACE; DEGENERATE STATE; FINITE-DIMENSIONAL QUANTUM SYSTEMS; FOUR LEVEL SYSTEM; LYAPUNOV CONTROL; NUMERICAL SIMULATION; OPEN QUANTUM SYSTEMS; QUANTUM SYSTEM;

EID: 70450225421     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.052316     Document Type: Article
Times cited : (90)

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    • Finding a n0 such that Tr { ρD [i H n0, ρ] } ≠0 is required. As long as n0 is found, f n0 can be determined by f n0 =-Tr [ρD L (ρ)] /Tr { ρD [ρ,i H n0] }. Now we show that f n0 is real. By the definition of L (ρ), L (ρ) is Hermite, then Tr [ρD L (ρ)] is real. Identifying ρD with a time-independent density matrix, we have Tr { ρD [ρ,i H n0] } = t Tr (ρD ρ), where t ρ= [ρ,i H n0] is assumed. Then Tr { ρD [ρ,i H n0] } is also real. By the same procedure, we can show that all the control fields fn (t) are real.
    • Finding a n0 such that Tr { ρD [i H n0, ρ] } ≠0 is required. As long as n0 is found, f n0 can be determined by f n0 =-Tr [ρD L (ρ)] /Tr { ρD [ρ,i H n0] }. Now we show that f n0 is real. By the definition of L (ρ), L (ρ) is Hermite, then Tr [ρD L (ρ)] is real. Identifying ρD with a time-independent density matrix, we have Tr { ρD [ρ,i H n0] } = t Tr (ρD ρ), where t ρ= [ρ,i H n0] is assumed. Then Tr { ρD [ρ,i H n0] } is also real. By the same procedure, we can show that all the control fields fn (t) are real.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.