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Volumn 113, Issue 26, 2014, Pages

Irreversible work and inner friction in quantum thermodynamic processes

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; FRICTION; QUANTUM OPTICS; THERMODYNAMICS;

EID: 84924791019     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.260601     Document Type: Article
Times cited : (206)

References (78)
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    • This relation comes directly from the definition of work, (Equation presented), which implies (Equation presented). This is equivalent to Eq. (3), which, together with Eq. (2) gives (Equation presented)
    • This relation comes directly from the definition of work, (Equation presented), which implies (Equation presented). This is equivalent to Eq. (3), which, together with Eq. (2) gives (Equation presented).
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    • This is a result of the quantum adiabatic theorem [26]. We just mention here that a sufficient condition for this theorem to hold is the absence of level crossings. However, this is by no means necessary, as discussed, e.g., in Ref. [27] and references therein
    • This is a result of the quantum adiabatic theorem [26]. We just mention here that a sufficient condition for this theorem to hold is the absence of level crossings. However, this is by no means necessary, as discussed, e.g., in Ref. [27] and references therein.
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    • The non-negativity of the nonadiabatic work is the content of the minimal work principle, which is valid well beyond the cases we address here, as discussed in Ref. [27]
    • The non-negativity of the nonadiabatic work is the content of the minimal work principle, which is valid well beyond the cases we address here, as discussed in Ref. [27].
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    • As mentioned after Eq. (5), Eq. (10) qualifies the nonadiabatic work as a friction; that is, as an unwanted excess energy needed to perform the process, and giving rise to an excess heat the system releases when thermalizing
    • As mentioned after Eq. (5), Eq. (10) qualifies the nonadiabatic work as a friction; that is, as an unwanted excess energy needed to perform the process, and giving rise to an excess heat the system releases when thermalizing.
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    • We notice that Eq. (11) is equivalent to two explicit relationships among relative entropies, which read TBD (ρτ ρB)-TAD (ρτ ρA)=TBD (ρA ρB) =-TAD (ρB ρA)+ (SA-SB) (TA-TB). These two equalities hold for every process (Equation presented) bringing (Equation presented) into (Equation presented); that is, they hold for every final state (Equation presented). Proof: each of the three sides entering Eqs. (18) and (19) is equal to (Equation presented) [as one can show by using Eq. (11) for the first term and by direct evaluation for the others]
    • We notice that Eq. (11) is equivalent to two explicit relationships among relative entropies, which read TBD (ρτ ρB)-TAD (ρτ ρA)=TBD (ρA ρB) =-TAD (ρB ρA)+ (SA-SB) (TA-TB). These two equalities hold for every process (Equation presented) bringing (Equation presented) into (Equation presented); that is, they hold for every final state (Equation presented). Proof: each of the three sides entering Eqs. (18) and (19) is equal to (Equation presented) [as one can show by using Eq. (11) for the first term and by direct evaluation for the others].
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    • A possible derivation of Eq. (16) goes as follows: Let (Equation presented) the generating function for the cumulants, with (Equation presented). Then, (Equation presented). Taking (Equation presented), one obtains (Equation presented), which gives Eq. (16)
    • A possible derivation of Eq. (16) goes as follows: Let (Equation presented) the generating function for the cumulants, with (Equation presented). Then, (Equation presented). Taking (Equation presented), one obtains (Equation presented), which gives Eq. (16).
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.