2006/04/04 by Cyril Petitjean, Philippe Jacquod · 2 citations
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Boltzmann constant #Computer science #Coupling (piping) #Degrees of freedom (physics and chemistry) #Echo (communications protocol) #Materials science #NMR spectroscopy and applications #Physics #Quantum #Quantum decoherence #Quantum mechanics #Semiclassical physics #Spectroscopy and Quantum Chemical Studies #Spin (aerodynamics) #Thermodynamics #cond-mat.mes-hall #physics.optics #quant-ph
paper · pdf · doi:10.1103/physrevlett.97.124103
published as Phys. Rev. Lett. 97, 124103 (2006) · 4 pages, one figure in .eps format
arxiv created 2006/04/04 · openalex publication_date 2006/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In echo experiments, imperfect time-reversal operations are performed on a subset of the total number of degrees of freedom. To capture the physics of these experiments, we introduce a partial fidelity M(B)(t), the Boltzmann echo, where only part of the system's degrees of freedom can be time reversed. We present a semiclassical calculation of M(B)(t). We show that, as the time-reversal operation is performed more and more accurately, the decay rate of M(B)(t) saturates at a value given by the decoherence rate of the controlled degrees of freedom due to their coupling to uncontrolled ones. We connect these results with NMR spin echo experiments.