Shortcuts to adiabatic population inversion via time-rescaling: stability and thermodynamic cost
arXiv:2205.00068 · doi:10.1038/s41598-022-15912-1
Abstract
A shortcut to adiabaticity (STA) is concerned with the fast and robust manipulation of the dynamics of a quantum system that reproduces the effect of an adiabatic process. A recently proposed method enables the generation of shortcuts from a prescribed slow dynamics by simply rescaling the time variable of the quantum evolution operator [B. L. Bernardo, Phys. Rev. Research 2, 013133 (2020)]. This time-rescaling method does not demand knowledge about the eigenvalues and eigenstates of the Hamiltonian, and in many cases no additional coupling fields. Here, we use this approach to study the problem of speeding up the population inversion of a two-level quantum system. The fidelity of the dynamics versus systematic errors in the control parameters are shown to be comparable with other STA schemes. From a quantum thermodynamic viewpoint, we also demonstrate that the main properties of the distribution of work required to drive the system along the shortcuts are unchanged with respect to the reference (slow) protocol.
arXiv comment10 pages, 4 figures
References in corpus (33)
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- NMR Techniques for Quantum Control and Computation
- Shortcuts to adiabaticity: concepts, methods, and applications
- Control of quantum phenomena: Past, present, and future
- Fluctuation theorems: Work is not an observable
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Shortcut to adiabatic passage in two and three level atoms
- Nonthermal pathways to ultrafast control in quantum materials
- High-fidelity quantum driving
- Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Optimally robust shortcuts to population inversion in two-level quantum systems
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
- Trade-off between speed and cost in shortcuts to adiabaticity
- Fast-forward of adiabatic dynamics in quantum mechanics
- Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
- Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
- Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics
- Optimal control of complex atomic quantum systems
- Shortcuts to adiabaticity: fast-forward approach
- The experimental realization of high-fidelity `shortcut-to-adiabaticity' quantum gates in a superconducting Xmon qubit
- Shortcuts to adiabaticity from linear response theory
- Inhibiting unwanted transitions in population transfer in two- and three-level quantum systems
- Optimal shortcut approach based on an easily obtained intermediate Hamiltonian
- Application of adiabatic passage in Rydberg atomic ensembles for quantum information processing
- Time-rescaled quantum dynamics as a shortcut to adiabaticity
- Robust state preparation in quantum simulations of Dirac dynamics
- Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals
- How a single particle modifies the physical reality of two distant others simultaneously: a quantum nonlocality and weak value study
- Coherent energy fluctuation theorems: theory and experiment