Optimal control over the full counting statistics in a non-adiabatic pump
arXiv:2503.14614 · doi:10.1103/j8kn-bn7j
Abstract
We introduce a systematic procedure based on optimal control theory to address the full counting statistics of particle transport in a stochastic system. Our approach enhances the performance of a Thouless pump in the non-adiabatic regime by simultaneously optimizing the average pumping rate while minimizing noise. We demonstrate our optimization procedure on a paradigmatic model for the electronic transport through a quantum dot, both in the limit of vanishing Coulomb interaction and in the interacting regime. Our method enables independent control of the moments associated with charge and spin transfer, allowing for the enhancement of spin current with minimal charge current or the independent tuning of spin and charge fluctuations. These results underscore the versatility of our approach, which can be applied to a broad class of stochastic systems.
References in corpus (42)
- Berry Phase Effects on Electronic Properties
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Artificial Brownian motors: Controlling transport on the nanoscale
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Shortcuts to adiabaticity: concepts, methods, and applications
- Floquet Engineering of Quantum Materials
- Fast optimal frictionless atom cooling in harmonic traps
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- Quantum Effects in Coulomb Blockade
- Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
- Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
- Single-electron current sources: towards a refined definition of ampere
- Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
- Thouless pumping and topology
- Fluctuation theorem in quantum heat conduction
- An Adiabatic Quantum Pump of Spin Polarized Current
- Non-adiabatic quantized charge pumping with tunable-barrier quantum dots: a review of current progress
- Experimental observation of temporal pumping in electro-mechanical waveguides
- Directed flow in non-adiabatic stochastic pumps
- Observation of topological transport quantization by dissipation in fast Thouless pumps
- The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
- Quantisation and its breakdown in a Hubbard-Thouless pump
- Optimal driving of isothermal processes close to equilibrium
- Robust single-parameter quantized charge pumping
- Geometrical Expression of Excess Entropy Production
- Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
- Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
- Geometrical Pumping in Quantum Transport: Quantum Master Equation Approach
- Coherent versus sequential electron tunneling in quantum dots
- Nonadiabatic Control of Geometric Pumping
- Shortcuts to Adiabatic Pumping in Classical Stochastic Systems
- Thermal bath Engineering for Swift Equilibration
- Adiabatic Charge Pumping through Quantum Dots in the Coulomb Blockade Regime
- Non-adiabatic Electron Pumping through Interacting Quantum Dots
- Statistical fluctuations of pumping and rectification currents in quantum dots
- Quantized Charge Pumping through a Carbon Nanotube Double Quantum Dot
- Geometric Fluctuation Theorem
- Optimization of quantized charge pumping using full counting statistics
- Full Counting Statistics of a Non-adiabatic Electron Pump
- Shortcut to synchronization in classical and quantum systems
- Tight inequalities for nonclassicality of measurement statistics