Quantum Criticality of 1D Attractive Fermi Gas

Abstract

We obtain an analytical equation of state for one-dimensional strongly attractive Fermi gas for all parameter regime in current experiments. From the equation of state we derive universal scaling functions that control whole thermodynamical properties in quantum critical regimes and illustrate physical origin of quantum criticality. It turns out that the critical properties of the system are described by these of free fermions and those of mixtures of fermions with mass $m$ and $2m$. We also show how these critical properties of bulk systems can be revealed from the density profile of trapped Fermi gas at finite temperatures and can be used to determine the T=0 phase boundaries without any arbitrariness.

extended version, 9 pages, 7 eps figures, corrections of few typos

References in corpus (5)

• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• Quantum criticality and universal scaling of strongly attractive spin-imbalanced Fermi gases in a 1D harmonic trap

Cited by in corpus (24)

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• Critical behaviours of contact near phase transitions
• Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
• Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
• Grüneisen Parameters: origin, identity and quantum refrigeration
• Quantum criticality of a one-dimensional Bose-Fermi mixture
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Universal Properties of Fermi Gases in One-dimension
• Exact solution for $SU(2)$-symmetry breaking bosonic mixtures at strong interactions
• Quantum criticality of spin-1 bosons in a 1D harmonic trap
• Exotic pairing in 1D spin-3/2 atomic gases with $SO(4)$ symmetry
• Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
• Grüneisen parameters for Lieb-Liniger and Yang-Gaudin models
• Universal low energy physics in one-dimensional multicompnent Fermi gases with a strongly repulsive $\delta$-function interaction
• Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases
• Exact Solutions to Two-Component Many-Body Systems in One Dimension
• Excitation Spectra of one-dimensional spin-1/2 Fermi gas with an attraction
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction
• A unified approach to the thermodynamics and quantum scaling functions of one-dimensional strongly attractive $SU(w)$ Fermi Gases
• Necklace Ansatz for strongly repulsive spin mixtures on a ring
• Matter wave interference of dilute Bose gases in the critical regime