| Full text | |
| Author(s): |
Varizi, Adalberto D.
[1, 2]
;
Cipolla, Mariana A.
[1]
;
Perarnau-Llobet, Marti
[3]
;
Drumond, Raphael C.
[4]
;
Landi, Gabriel T.
[1]
Total Authors: 5
|
| Affiliation: | [1] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo - Brazil
[2] Univ Fed Minas Gerais, Dept Fis, Inst Ciencias Exatas, BR-30123970 Belo Horizonte, MG - Brazil
[3] Univ Geneva, Dept Phys Appl, CH-1211 Geneva - Switzerland
[4] Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Matemat, BR-30123970 Belo Horizonte, MG - Brazil
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | NEW JOURNAL OF PHYSICS; v. 23, n. 6 JUN 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
The entropy produced when a quantum system is driven away from equilibrium can be decomposed in two parts, one related with populations and the other with quantum coherences. The latter is usually based on the so-called relative entropy of coherence, a widely used quantifier in quantum resource theories. In this paper we argue that, despite satisfying fluctuation theorems and having a clear resource-theoretic interpretation, this splitting has shortcomings. First, it predicts that at low temperatures the entropy production will always be dominated by the classical term, irrespective of the quantum nature of the process. Second, for infinitesimal quenches, the radius of convergence diverges exponentially as the temperature decreases, rendering the functions non-analytic. Motivated by this, we provide here a complementary approach, where the entropy production is split in a way such that the contributions from populations and coherences are written in terms of a thermal state of a specially dephased Hamiltonian. The physical interpretation of our proposal is discussed in detail. We also contrast the two approaches by studying work protocols in a transverse field Ising chain, and a macrospin of varying dimension. (AU) | |
| FAPESP's process: | 18/12813-0 - Quantum thermodynamics of bosonic systems |
| Grantee: | Gabriel Teixeira Landi |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/50304-7 - Entropy production in non-equilibrium quantum processes: from foundations to quantum technologies |
| Grantee: | Gabriel Teixeira Landi |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/07973-5 - Thermodynamics and information technologies with continuous variable quantum systems |
| Grantee: | Gabriel Teixeira Landi |
| Support Opportunities: | Regular Research Grants |