Direct Entropy Measurement in a Mesoscopic Quantum System
arXiv:1905.12388 · doi:10.1038/s41567-018-0250-5
Abstract
The entropy of an electronic system offers important insights into the nature of its quantum mechanical ground state. This is particularly valuable in cases where the state is difficult to identify by conventional experimental probes, such as conductance. Traditionally, entropy measurements are based on bulk properties, such as heat capacity, that are easily observed in macroscopic samples but are unmeasurably small in systems that consist of only a few particles. In this work, we develop a mesoscopic circuit to directly measure the entropy of just a few electrons, and demonstrate its efficacy using the well understood spin statistics of the first, second, and third electron ground states in a GaAs quantum dot. The precision of this technique, quantifying the entropy of a single spin- to within 5\% of the expected value of , shows its potential for probing more exotic systems. For example, entangled states or those with non-Abelian statistics could be clearly distinguished by their low-temperature entropy.
References in corpus (18)
- Single-shot read-out of an individual electron spin in a quantum dot
- Zeeman energy and spin relaxation in a one-electron quantum dot
- Nuclear spin induced oscillatory current in spin-blocked quantum dots
- Three-Terminal Energy Harvester with Coupled Quantum Dots
- Cotunneling Spectroscopy in Few-Electron Quantum Dots
- Electron counting in quantum dots
- Spin and Polarized Current from Coulomb Blockaded Quantum Dots
- Local Charge of the nu=5/2 Fractional Quantum Hall State
- Energy levels of few electron quantum dots imaged and characterized by atomic force microscopy
- Damping of a nanomechanical oscillator strongly coupled to a quantum dot
- Observable Bulk Signatures of Non-Abelian Quantum Hall States
- Measuring the degeneracy of discrete energy levels using a GaAs/AlGaAs quantum dot
- Majorana tunneling entropy
- Entanglement structure of the two-channel Kondo model
- Detecting Non-Abelian Anyons by Charging Spectroscopy
- Asymmetry of charge relaxation times in quantum dots: The influence of degeneracy
- Ettingshausen effect due to Majorana modes
- Specific heat and entropy of fractional quantum Hall states in the second Landau level
Cited by in corpus (28)
- Entropic evidence for a Pomeranchuk effect in magic angle graphene
- How to measure the entropy of a mesoscopic system via thermoelectric transport
- Fractional entropy of multichannel Kondo systems from conductance-charge relations
- Detecting the universal fractional entropy of Majorana zero modes
- Gate-tunable heavy fermion quantum criticality in a moiré Kondo lattice
- Autonomous conversion of information to work in quantum dots
- Symmetric inseparability and number entanglement in charge conserving mixed states
- Entropy measurement of a strongly coupled quantum dot
- Majorana ensembles with fractional entropy and conductance in nanoscopic systems
- Controlling the entropy of a single-molecule junction
- A robust protocol for entropy measurement in mesoscopic circuits
- Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
- A thermodynamic approach to measuring entropy in a few-electron nanodevice
- Counting Statistics of Single Electron Transport in Bilayer Graphene Quantum Dots
- Electronic measurements of entropy in meso- and nanoscale systems
- The role of metallic leads and electronic degeneracies in thermoelectric power generation in quantum dots
- Dual Majorana universality in thermally induced nonequilibrium
- Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
- SO(5) critical point in a spin-flavor Kondo device -- Bosonization and refermionization solution
- Multichannel topological Kondo effect
- Quantized spin pumping in topological ferromagnetic-superconducting nanowires
- Master equation approach for transport through Majorana zero modes
- Strong Coupling and non-Markovian Effects in the Statistical Notion of Temperature
- Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level
- Measuring topological entanglement entropy using Maxwell relations
- Spin-orbit coupling effects over thermoelectric transport properties in quantum dots
- Entropy and Seebeck signals meet on the edges
- Network architecture of energy landscapes in mesoscopic quantum systems