Abstract
In this article we investigate the stability of quantized yrast states in a mixture of two distinguishable equal mass bosonic atoms confined in a ring. We focus in the study of energetic stability since the Bloch analysis and the Bogoliubov theory establishes that only energetically stable quantized yrast states are capable of sustain a persistent current. In the framework of the Bogoliubov theory we study the stability in two different cases chosen by physical considerations. In one case we analyze how the inter and intraspecies interaction strengths affect the stability of a selected quantized yrast state specified by the angular momentum per particle and the population imbalance. In the other case, for a fixed dynamics specified by given values of interaction strengths, we determine the stability of quantized yrast states as function of the angular momentum per particle and the population imbalance. We also examined the stability of the mixture in the rarefied limit and we found a critical value of the population imbalance which gives the size of the window of energetic stability and a critical value of angular momentum per particle which is an upper bound of the possible values of angular momentum per particle carried by energetically stable quantized yrast states.
Highlights
The properties of superfluidity of a system of ultra cold atoms confined in a ring has been extensively studied in recent years, both experimentally [1,2,3,4,5] and theoretically [6,7,8]
Bloch analysis [9] we conclude that only the energetically stable quantized yrast (QY) states are capable of sustain a persistent current
We focus our investigation in the study of the energetic stability of the QY states
Summary
The properties of superfluidity of a system of ultra cold atoms confined in a ring has been extensively studied in recent years, both experimentally [1,2,3,4,5] and theoretically [6,7,8]. We can identify the energetically stable QY states as the ones whose corresponding points in the SPS are localized in the energetically stable domain in the l × f plane It appeared in the literature a theoretical work [15] which, besides other applications, investigate the stability of QY states. Both of us found identical inequalities that define the region of energetic stability of the mixture and studied the stability in planes spanned by pairs of system parameters.
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