Minimally Dissipative Information Erasure in a Quantum Dot via Thermodynamic Length

Scandi, Matteo; Barker, David; Lehmann, Sebastian; Dick, Kimberly A.; Maisi, Ville F.; Perarnau-Llobet, Martí

doi:10.1103/physrevlett.129.270601

Cited by 13 publications

(5 citation statements)

References 59 publications

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“…In that case the Hamiltonian is given by H(ϵ) = 1 2 ϵσ z with a single control variable λ t = ϵ(t) given by the energy gap of the two-level system. The optimal finite-time thermodynamics of such systems has been well studied with regard to minimising average dissipation in Landauer erasure [38,[45][46][47][48][49], including a recent experimental implementation in a driven single dot [50], as well as maximising average power and efficiency in heat engines [26,51]. More recent numerical approaches have also been used to find optimal protocols that take into account the minimisation of work fluctuations [6,52].…”

Section: Fast Erasure Of a Single Bitmentioning

confidence: 99%

Optimal control of dissipation and work fluctuations for rapidly driven systems

2023

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To achieve efficient and reliable control of microscopic systems one should look for driving protocols that mitigate both the average dissipation and stochastic fluctuations in work. This is especially important in fast driving regimes in which the system is driven far out of equilibrium, potentially creating large amounts of unwanted entropy production. Here we characterise these optimal protocols in rapidly driven classical and quantum systems and prove that they consist of two discontinuous jumps in the full set of control variables. These jumps can be tuned to interpolate between processes with either minimal dissipation or minimal fluctuations, and in some situations allow for simultaneous minimisation. We illustrate our general results with rapidly driven closed quantum systems, classical bit erasure and a dissipative Ising chain driven close to a quantum phase transition.

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Section: Fast Erasure Of a Single Bitmentioning

confidence: 99%

Optimal control of dissipation and work fluctuations for rapidly driven systems

2023

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“…Thus, any attempt to optimize a given process with respect to its driving protocols generically leads to a complicated dynamical control problem. For systems that are weakly coupled to a thermal environment and driven slowly, relative to their internal relaxation timescale, thermodynamic geometry provides an elegant method to simplify such problems [3][4][5][6][7][8][9][10][11][12][13][14][15]. The key idea of this approach is to solve the equations of motion of the working system, by means of adiabatic perturbation theory [8,16].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines

et al. 2023

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Thermodynamic geometry provides a physically transparent framework to describe thermodynamic processes in meso- and micro-scale systems that are driven by slow variations of external control parameters. Focusing on periodic driving for thermal machines, we extend this framework to ideal quantum gases. To this end, we show that the standard approach of equilibrium physics, where a grand-canonical ensemble is used to model a canonical one by fixing the mean particle number through the chemical potential, can be extended to the slow driving regime in a thermodynamically consistent way. As a key application of our theory, we use a Lindblad-type quantum master equation to work out a dynamical model of a quantum many-body engine using a harmonically trapped Bose-gas. Our results provide a geometric picture of the BEC-induced power enhancement that was previously predicted for this type of engine on the basis of an endoreversible model [New J. Phys. 24, 025001 (2022)]. Using an earlier derived universal trade-off relation between power and efficiency as a benchmark, we further show that the Bose-gas engine can deliver significantly more power at given efficiency than an equally large collection of single-body engines. Our work paves the way for a more general thermodynamic framework that makes it possible to systematically assess the impact of quantum many-body effects on the performance of thermal machines.

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“…Principle. Optimal retrieval maps maximise the determinant of ΦO Φ under the constraints (1)(2)(3)(4).…”

Section: C2 the Max-det Principlementioning

confidence: 99%

“…The last two panels show the entropy production rate for a fast and a slow realisation of the protocol. The solid lines are the theory prediction, while the dotted lines corresponds to actual experimental data from[3]. As it is apparent, the geodesic drive tends to a more uniform distribution of the entropy production.…”

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Information and Thermodynamics

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Perspectives on Statistical Thermodynamics

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Minimally Dissipative Information Erasure in a Quantum Dot via Thermodynamic Length

Cited by 13 publications

References 59 publications

Optimal control of dissipation and work fluctuations for rapidly driven systems

Optimal control of dissipation and work fluctuations for rapidly driven systems

Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines

Information and Thermodynamics

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