Minimally dissipative information erasure in a quantum dot via thermodynamic length

Abstract

In this work we explore the use of thermodynamic length to improve the performance of experimental protocols. In particular, we implement Landauer erasure on a driven electron level in a semiconductor quantum dot, and compare the standard protocol in which the energy is increased linearly in time with the one coming from geometric optimisation. The latter is obtained by choosing a suitable metric structure, whose geodesics correspond to optimal finite-time thermodynamic protocols in the slow driving regime. We show experimentally that geodesic drivings minimise dissipation for slow protocols, with a bigger improvement as one approaches perfect erasure. Moreover, the geometric approach also leads to smaller dissipation even when the time of the protocol becomes comparable with the equilibration timescale of the system, i.e., away from the slow driving regime. Our results also illustrate, in a single-electron device, a fundamental principle of thermodynamic geometry: optimal finite-time thermodynamic protocols are those with constant dissipation rate along the process.

References in corpus (11)

• High-precision test of Landauer's principle in a feedback trap
• Finite-time Landauer principle
• Electron counting in quantum dots
• The geometry of thermodynamic control
• Optimal driving of isothermal processes close to equilibrium
• Erasure without work in an asymmetric, double-well potential
• Finite-time erasing of information stored in fermionic bits
• Thermodynamic control -- an old paradigm with new applications
• Optimal finite-time bit erasure under full control
• Measuring the degeneracy of discrete energy levels using a GaAs/AlGaAs quantum dot
• Environmentally Activated Tunneling Events in a Hybrid Single-Electron Box

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• Thermodynamic Constraints in Dynamic Random-Access Memory Cells: Experimental Verification of Energy Efficiency Limits in Information Erasure
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