Lower bounds for the mean dissipated heat in an open quantum system

Hashimoto, Kazunari; Vacchini, Bassano; Uchiyama, Chikako

doi:10.1103/physreva.101.052114

Cited by 3 publications

(9 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These qualitative features of the bounds are in agreement with the case for θ = 0, where the time evolutions of the population and the coherence are decoupled, studied in the previous study in Ref. [25], indicating that the above-summarized dependencies of the bounds on the initial state generically hold regardless of whether the dynamics influenced from the quantum coherence or not.…”

Section: J 8 R Z N a F D A B 6 I P E 8 E M N W = " > A A A C E 3 I C ...supporting

confidence: 88%

“…By adjusting the angle of the interaction direction, we control the coupling between the population and the coherence. Our analysis is based on the full-counting statistics (FCS) formalism of the bounds [23] with the timeconvolutionless type quantum master equation, which is time-local even beyond the Markov approximation [25][26][27]30]. With this formalism, we show that the above-summarized trends of the bounds reported in Ref.…”

Section: Introductionmentioning

confidence: 84%

See 1 more Smart Citation

Effect of quantum coherence on Landauer's principle

Hashimoto,

Uchiyama

2022

Preprint

Self Cite

View full text Add to dashboard Cite

Quantum Landauer's principle provides a fundamental lower bound for energy dissipation occurred with information erasure in the quantum regime. While most studies have related the entropy reduction incorporated with the erasure to the lower bound (entropic bound), recent efforts have also provided another lower bound associated with the thermal fluctuation of the dissipated energy (thermodynamic bound). The coexistence of the two bounds has stimulated comparative studies of their properties; however, these studies were performed for systems where the timeevolution of diagonal (population) and off-diagonal (coherence) elements of the density matrix are decoupled. In this paper, we aimed to broaden the comparative study to include the influence of quantum coherence induced by the tilted system-reservoir interaction direction. By examining their dependence on the initial state of the information-bearing system, we find that the following properties of the bounds are generically held regardless of whether the influence of the coherence is present or not: the entropic bound serves as the tighter bound for a sufficiently mixed initial state, while the thermodynamic bound is tighter when the purity of the initial state is sufficiently high. The exception is the case where the system dynamics involve only phase relaxation; in this case, the two bounds coincide when the initial coherence is zero; otherwise, the thermodynamic bound serves the tighter bound. We also find the quantum information erasure inevitably accompanies constant energy dissipation caused by the creation of system-reservoir correlation, which may cause an additional source of energetic cost for the erasure.

show abstract

Section: J 8 R Z N a F D A B 6 I P E 8 E M N W = " > A A A C E 3 I C ...supporting

confidence: 88%

Section: Introductionmentioning

confidence: 84%

Effect of quantum coherence on Landauer's principle

Hashimoto,

Uchiyama

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…By adjusting the angle of the interaction direction, we control the coupling between the population and the coherence. Our analysis is based on the full-counting statistics (FCS) formalism of the bounds [23] with the time-convolutionless type quantum master equation, which is time-local even beyond the Markov approximation [25,[28][29][30]. With this formalism, we show that the above-summarized trends of the bounds reported in Ref.…”

Section: Introductionmentioning

confidence: 84%

“…Despite the conventional Landauer's principle being rooted in the information theory, recent studies in quantum thermodynamics provide another lower bound related to the thermal fluctuation of the dissipated energy [22,23]. Because of its completely different physical origin from the entropic lower bound, subsequent comparative studies on the relative tightness of the two bounds have been stimulated [22][23][24][25]. In these studies, the two bounds are compared for systems where a single two-level system transversally contacts with finite [22][23][24] or infinite [25] reservoirs.…”

Section: Introductionmentioning

confidence: 99%

“…Because of its completely different physical origin from the entropic lower bound, subsequent comparative studies on the relative tightness of the two bounds have been stimulated [22][23][24][25]. In these studies, the two bounds are compared for systems where a single two-level system transversally contacts with finite [22][23][24] or infinite [25] reservoirs. For the transversal interaction, the dynamics of the population and the coherence are decoupled.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of Quantum Coherence on Landauer’s Principle

Hashimoto

Uchiyama

2022

Entropy

Self Cite

View full text Add to dashboard Cite

Landauer’s principle provides a fundamental lower bound for energy dissipation occurring with information erasure in the quantum regime. While most studies have related the entropy reduction incorporated with the erasure to the lower bound (entropic bound), recent efforts have also provided another lower bound associated with the thermal fluctuation of the dissipated energy (thermodynamic bound). The coexistence of the two bounds has stimulated comparative studies of their properties; however, these studies were performed for systems where the time-evolution of diagonal (population) and off-diagonal (coherence) elements of the density matrix are decoupled. In this paper, we aimed to broaden the comparative study to include the influence of quantum coherence induced by the tilted system–reservoir interaction direction. By examining their dependence on the initial state of the information-bearing system, we find that the following properties of the bounds are generically held regardless of whether the influence of the coherence is present or not: the entropic bound serves as the tighter bound for a sufficiently mixed initial state, while the thermodynamic bound is tighter when the purity of the initial state is sufficiently high. The exception is the case where the system dynamics involve only phase relaxation; in this case, the two bounds coincide when the initial coherence is zero; otherwise, the thermodynamic bound serves the tighter bound. We also find the quantum information erasure inevitably accompanies constant energy dissipation caused by the creation of system–reservoir correlation, which may cause an additional source of energetic cost for the erasure.

show abstract