[Aspuru-Guzik Group List] ITAMP Lunch Seminar (May. 3rd) - Francesco Ciccarello (University of Palermo)

Speaker: Francesco Ciccarello (University of Palermo) Date: Thursday, May 3rd Time: 12:00-1:00 pm Includes Pizza. Title: Quantum collision models Abstract: A collision model (or repeated-interactions model or conveyor-belt model) is a simple theoretical framework in which a system S undergoes successive interactions (“collisions”) with the subunits of a large environment [1-4]. Currently, quantum collision models are being used more and more in research areas such as open quantum systems theory (especially non-Markovian dynamics [5]), quantum thermodynamics [6], quantum optics [7] and, in some respects, even quantum gravity [8]. Here, starting from a few historical notes, we will present a general introduction to quantum collision models. In particular, we will discuss: their tight connection with the concept of CP-divisibility (CP standing for “completely positive”) and weak quantum measurements; the issue of their continuous-time limit; the possibility to derive the Lindblad master equation with no approximations; the different ways to modify their basic definition so as to introduce memory effects; the possibility of deriving well-defined non-Markovian master equations; their relationship with the input-output formalism of quantum optics. [1] J. Rau, Phys. Rev. 129, 1880 (1963). [2] C. M. Caves and J. G. Milburn, Phys. Rev. A 36, 5543 (1987). [3] T. A. Brun, Am. J. Phys. 70, 719 (2002). [4] V. Scarani M. Ziman, P. Stelmachovic, N. Gisin, and V. Buzek, Phys. Rev. Lett. 88, 097905 (2002). [5] F. Ciccarello, G. M. Palma, and V. Giovannetti, Phys. Rev. A 87, 040103(R) (2013). [6] P. Strasberg, G. Schaller, T. Brandes, and M. Esposito, Phys. Rev. X 7, 021003 (2017). [7] A. Grimsmo, Phys. Rev. Lett. 115, 060402 (2015); H. Pichler and P. Zoller, Phys. Rev. Lett 116,093601(2016); F. Ciccarello, Quantum Meas. Quantum Metrol. 4,53 (2017); J. A. Gross, C. M. Caves, G. J. Milburn, and J. Combes, Quantum Sci. Technol. 3, 024005 (2018). [8] N. Altamirano, P. Corona-Ugalde, R. Mann, and M. A. Zych, New J. Phys. 19, 013035 (2017). Directions: After entering the lobby of the CfA (60 Garden street), turn right to enter the hallway of the B building. In the hallway, turn right again, B-106 will be at the end of the hallway on the left side.