Shortcuts to Adiabaticity across a Separatrix
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View abstract on PubMed
Summary
This summary is machine-generated.Researchers developed Hamiltonian shortcuts to adiabaticity to cross phase-space separatrices, enabling energy shell transitions. This method allows for efficient erasure procedures with consistent fidelity and energy cost, regardless of protocol duration.
Area Of Science
- Quantum mechanics
- Classical mechanics
- Statistical mechanics
Background
- Adiabatic invariants are conserved under slow driving conditions.
- Shortcuts to adiabaticity (STA) extend this conservation to fast-driving regimes.
- Crossing a phase-space separatrix is typically not possible with adiabatic protocols.
Purpose Of The Study
- To extend classical Hamiltonian shortcuts to adiabaticity.
- To enable the crossing of phase-space separatrices.
- To design a protocol-independent erasure procedure.
Main Methods
- Construction of a time-dependent Hamiltonian.
- Evolving systems across a phase-space separatrix.
- Designing an erasure procedure based on the new Hamiltonian.
Main Results
- Successfully extended Hamiltonian STA to cross separatrices.
- Demonstrated evolution between energy shells across a separatrix.
- Developed an erasure procedure with protocol-duration-independent energy cost and fidelity.
Conclusions
- Hamiltonian STA can be generalized to non-adiabatic scenarios involving separatrices.
- This approach offers a new method for state manipulation and erasure in physical systems.
- The developed erasure procedure provides robust performance irrespective of the driving speed.
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