Lieb-Robinson bounds and superradiance in ultracold atomic clouds

• Grant number: 15/10763-7
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Start date: July 01, 2015
• End date: July 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Physics - Atomic and Molecular Physics
• Principal Investigator: Romain Pierre Marcel Bachelard
• Grantee: Tiago Santiago do Espirito Santo
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 14/01491-0 - Atomic clouds under stress, AP.JP
• Associated scholarship(s): 17/10294-2 - Blockade effects with light-mediated dipole-dipole interactions, BE.EP.DD

Abstract

This DD project aims at studying the propagation of dipolar excitations and quantum correlations in a cloud of cold atoms. We are interested in the regime where superradiant effects are dominant compared to diffusive ones, when light-mediated long-ronge interactions take over between the light scatterers. We will use both mathematical techniques, such as Lieb-Robinson bounds, and numerical methods. It was shown that Lieb-Robinson bounds are not only a mathematical limit, but also that it also provides a very precise description of the propagation of quantum correlations and of classical perturbations, including for systems with long-range interactions. It is particularly interesting to understand how this propagation relates to superradiance. Indeed, since the pioneering work of Dicke, it is known that the cooperation between atoms may result in a drastic increase in the speed of emission of light, in strong connection with the number of scatterers. A similar process, yet on the reduction of the dynamical time scale, was reported when studying Lieb-Robinson bounds for long-range interacting systems. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

PUCCI, LORENZO; ROY, ANALABHA; SANTIAGO DO ESPIRITO SANTO, TIAGO; KAISER, ROBIN; KASTNER, MICHAEL; BACHELARD, ROMAIN. Quantum effects in the cooperative scattering of light by atomic clouds. Physical Review A, v. 95, n. 5, MAY 22 2017. (15/50422-4, 14/01491-0, 14/50744-9, 15/10763-7)

PUCCI, LORENZO; ROY, ANALABHA; SANTIAGO DO ESPIRITO SANTO, TIAGO; KAISER, ROBIN; KASTNER, MICHAEL; BACHELARD, ROMAIN. Quantum effects in the cooperative scattering of light by atomic clouds. PHYSICAL REVIEW A, v. 95, n. 5, p. 9-pg., 2017-05-22. (14/01491-0, 14/50744-9, 15/50422-4, 15/10763-7)