Fast forward to the classical adiabatic invariant
| dc.contributor.author | Jarzynski, Christopher | |
| dc.contributor.author | Deffner, Sebastian | |
| dc.contributor.author | Patra, Ayoti | |
| dc.contributor.author | Subaşı, Yiğit | |
| dc.date.accessioned | 2020-08-13T15:43:58Z | |
| dc.date.available | 2020-08-13T15:43:58Z | |
| dc.date.issued | 2017-03-10 | |
| dc.description.abstract | We show how the classical action, an adiabatic invariant, can be preserved under nonadiabatic conditions. Specifically, for a time-dependent Hamiltonian H=p²/2m+U(q,t) in one degree of freedom, and for an arbitrary choice of action I₀, we construct a so-called fast-forward potential energy function VFF(q,t) that, when added to H, guides all trajectories with initial action I₀ to end with the same value of action. We use this result to construct a local dynamical invariant J(q,p,t) whose value remains constant along these trajectories. We illustrate our results with numerical simulations. Finally, we sketch how our classical results may be used to design approximate quantum shortcuts to adiabaticity. | en_US |
| dc.description.sponsorship | We acknowledge financial support from the US National Science Foundation under Grant No. DMR-1506969 (C.J.), the US Department of Energy through a LANL Directors Funded Fellowship (S.D.), and from the U.S. Army Research Laboratory and the U.S. Army Research Office under Contract No. W911NF-13-1-0390 (A.P., Y.S.). | en_US |
| dc.description.uri | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.032122 | en_US |
| dc.format.extent | 7 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.identifier | doi:10.13016/m2skxb-50pe | |
| dc.identifier.citation | Christopher Jarzynski et al., Fast forward to the classical adiabatic invariant, Phys. Rev. E 95, 032122 (2017), DOI:https://doi.org/10.1103/PhysRevE.95.032122 | en_US |
| dc.identifier.uri | https://doi.org/10.1103/PhysRevE.95.032122 | |
| dc.identifier.uri | http://hdl.handle.net/11603/19415 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | American Physical Society (APS) | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Physics Department Collection | |
| dc.relation.ispartof | UMBC Joint Center for Earth Systems Technology (JCET) | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.rights | ©2017 American Physical Society | |
| dc.title | Fast forward to the classical adiabatic invariant | en_US |
| dc.type | Text | en_US |