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Characterization of strongly-correlated and dissipative Rydberg gases by using full counting statistics

D. Ciampini

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

Ultra-cold gases of Rydberg atoms have been identified in recent years as promising candidates for the implementation of quantum computers or quantum simulators. Strongly correlated structures of atoms excited to Rydberg states, so-called Rydberg aggregates, were studied both for resonant and off-resonant excitation regimes.

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Ultracold gases excited to strongly interacting Rydberg states are a promising system for quantum simulations of many-body systems. For off-resonant excitation of such systems in the dissipative regime, highly correlated many-body states exhibiting, among other characteristics, intermittency and multimodal counting distributions are expected to be created. Here we report on the realization of a dissipative gas of rubidium Rydberg atoms and on the measurement of its full counting statistics and phase diagram for both resonant and off-resonant excitation. We find strongly bimodal counting distributions in the off-resonant regime that are compatible with intermittency due to the coexistence of dynamical phases. Our results pave the way towards detailed studies of many-body effects in Rydberg gases.
This Thesis aims to investigate the role of correlations arising in cold Rydberg samples as a consequence of the strong interactions between its constituents. \nFor this purpose, two different approaches, which allow the study of different correlations, are presented here. On the one hand, as a consequence of the interactions between the excitations, resonantly excited Rydberg ensembles exhibit a strong degree of anti-correlation, which becomes visible either through the blockade of the excitation, or through a slowing down of the dynamics. On the other hand, the Rydberg-Rydberg interactions in the off-resonant regime enhance the generation of new excitations, leading the system to exhibit strong correlations. Moreover, by analyzing the full counting statistics (FCS) of the excitation events we get more insight into this process. Thus, in the off-resonant case, the most notable features of these strong correlations are the bimodal shapes of histograms of the counting distributions. Furthermore, under strong dissipative conditions, the FCS analysis reveals signs of a transition between two dynamical phases. Although the afore-mentioned effects were observed in a system governed by an Ising-type Hamiltonian, correlations emerge in other systems as well. For instance, in systems described by Heisenberg XX-type Hamiltonians, the strong interactions lead the dipolar energy exchange between the excitations.
One of the most fascinating and challenging topics of recent years is many- body physics. Owing to the large number of components of real physi- cal systems an analytical approach or numerical solutions are typically not practicable. However, an experimental approach to this problem is possible thanks to an unprecedented level of matter control on the atomic scale. In our setup we use atoms excited to high-lying energy states, called Rydberg atoms, which have peculiar properties like the extremely long lifetime and strong interactions. These experimental features make a cold ensem- ble of Rydberg atoms a very controllable example of a strongly interacting many-body system and provide a promising framework for quantum simulation.
During this thesis, the Physics of interacting systems has been investigated experimentally using Cold Rydberg gases. Rydberg atoms are very excited atoms and have the particularity to interact strongly together through long-range electrostatic interaction. A first highlight of the thesis is a direct experimental observation of a 4-body process. This process consists in internal exchanges of excitations between 4 Rydberg atoms due to their mutual interactions. In addition to its experimental observation, the process has been succefully described theoretically at a quantum level. A second highlight of this thesis has concerns the study of the laser excitation of strongly interacting Rydberg gases. In this regime, many-body quantum correlations play a central role leading to fascinating many-body behavior. In addition to fundamental interests, such systems could be used to implement quantum simulator or non-classical light sources. The system has been investigated during this thesis through the counting statistics of the Rydberg excitation. A highly sub-poisonian, i.e correlated, statistics has been observed in the regim of strong interactions proving the many-body nature of the system. A third highlight of this thesis is the development of an original theoretical model to describe the laser excitation of strongly interacting Rydberg gases. Using the so-called Dicke collective states, it has been possible to catch several interesting features of this many-body problem.
The nonequilibrium dynamics of a gas of cold atoms in which Rydberg states are off-resonantly excited is studied in the presence of noise. The interplay between interaction and off-resonant excitation leads to an initial dynamics where aggregates of excited Rydberg atoms slowly nucleate and grow, eventually reaching long-lived metastable arrangements which then relax further on much longer time scales. This growth dynamics is governed by an effective Master equation which permits a transparent and largely analytical understanding of the underlying physics. By means of extensive numerical simulations we study the many-body dynamics and the correlations of the resulting nonequilibrium states in various dimensions. Our results provide insight into the dynamical richness of strongly interacting Rydberg gases in noisy environments, and highlight the usefulness of these kinds of systems for the exploration of soft-matter-type collective behavior.
Ultracold atomic gases excited to strongly interacting Rydberg states are a promising system for quantum simulations of many-body systems. The dipole blockade of Rydberg excitations is a hallmark of the strong interactions between atoms in these high-lying quantum states. We have measured the Rydberg excitation for rubidium ultracold atoms in magneto-optical traps and for Bose-Einstein condensates loaded into quasi one-dimensional traps. One of the consequences of the dipole blockade is the suppression of fluctuations in the counting statistics of Rydberg excitations. We have obtained experimental results on the dynamics and the counting statistics of Rydberg excitations of ultra-cold Rubidium atoms both on and off resonance, which exhibit sub- and super-Poissonian counting statistics, respectively. We have found strongly bimodal counting distributions in the offresonant regime.