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In the last years, there has been a great interest in the possibility of accelerating the connection\u00a0between given initial and final states. The field was started with the idea of \u201cshortcuts to\u00a0adiabaticity\u201d (STA) in the quantum framework, in which the general goal was to obtain the\u00a0adiabatic evolution but in a finite time\u2014by driving the system with an additional term in the\u00a0Hamiltonian. Several techniques have been proposed to achieve this goal: inverse engineering,\u00a0counter-diabatic driving, fast-forward, to name a few [1].\u00a0Both the idea of accelerating the connection between states and the techniques employed have\u00a0later been transposed to stochastic systems, mainly trying to find shortcuts for the relaxation\u00a0between equilibrium states. Since \u201cadiabatic\u201d has the meaning of zero-heat in thermodynamics,\u00a0the term \u201cswift state-to-state transformations\u201d (SST) has been proposed to encompass all the\u00a0protocols that aim at accelerating the connection in stochastic systems [2]. This is done by\u00a0tailoring the time evolution of physical properties that control the time evolution of the system\u00a0of interest, e.g. the stiffness of a harmonic trap or the temperature of the thermal bath\u2014i.e. the\u00a0control functions. Once the feasibility of connecting in a finite time is shown, there appears the\u00a0problem of optimising it in a certain sense: connection time, dissipation, or other figures of\u00a0merit. This makes it necessary, in general, to resort to optimal control theory to find the optimal\u00a0time protocol for the control functions.\u00a0The above general ideas will be illustrated with several examples of stochastic systems.<\/p>\n
[1] D. Gu\u00e9ry-Odelin, A. Ruschhaupt, A. Kiely, E. Torrontegui, S. Mart\u00ednez-Garaot, and J. G.\u00a0Muga.\u00a0Rev. Mod. Phys. 91, 045001 (2019).
\n[2] D. Gu\u00e9ry-Odelin, C. Jarzynski, C. A. Plata, A. Prados, and E. Trizac, Driving rapidly while\u00a0remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics, Rep. Prog.\u00a0Phys. 86, 035902 (2023).<\/p>\n","protected":false},"excerpt":{"rendered":"
Antonio Prados Departamento de F\u00edsica At\u00f3mica, Molecular y Nuclear Universidad de Sevilla, Spain Swift state-to-state transformations in stochastic systems When: 12:00-13:00 CET, July 17th (Monday), 2023 Where: Seminar Room, ICMM-CSIC, Campus de Cantoblanco, Madrid In the last years, there has been a great interest in the possibility of accelerating the connection\u00a0between given initial and … Continue reading Antonio Prados (17\/07\/2023)<\/span>