Anomalous Expansion of Attractively Interacting Fermionic Atoms in an Optical Lattice

TL;DR

This paper reports an unexpected expansion of attractively interacting fermionic atoms in an optical lattice due to pairing effects, revealing new thermodynamic behavior in strongly correlated quantum systems.

Contribution

It introduces a novel anomalous isentropic expansion effect in a fermionic Hubbard model with attractive interactions, highlighting unique pairing thermodynamics.

Findings

Fermionic gas expands when attraction increases, contrary to expectations.

Pair formation suppresses quantum fluctuations, affecting entropy.

Loss of spin degrees of freedom induces orbital excitations and expansion.

Abstract

Strong correlations can dramatically modify the thermodynamics of a quantum many-particle system. Especially intriguing behaviour can appear when the system adiabatically enters a strongly correlated regime, for the interplay between entropy and strong interactions can lead to counterintuitive effects. A well known example is the so-called Pomeranchuk effect, occurring when liquid 3He is adiabatically compressed towards its crystalline phase. Here, we report on a novel anomalous, isentropic effect in a spin mixture of attractively interacting fermionic atoms in an optical lattice. As we adiabatically increase the attraction between the atoms we observe that the gas, instead of contracting, anomalously expands. This expansion results from the combination of two effects induced by pair formation in a lattice potential: the suppression of quantum fluctuations as the attraction increases, which leads to a dominant role of entropy, and the progressive loss of the spin degree of freedom, which forces the gas to excite additional orbital degrees of freedom and expand to outer regions of the trap in order to maintain the entropy. The unexpected thermodynamics we observe reveal fundamentally distinctive features of pairing in the fermionic Hubbard model.