Grüneisen Parameters: origin, identity and quantum refrigeration

Abstract

In solid state physics, the Grüneisen parameter (GP), originally introduced in the study of the effect of changing the volume of a crystal lattice on its vibrational frequency, has been widely used to investigate the characteristic energy scales of systems with respect to the changes of external potentials. On the other hand, the GP is little investigated in a strongly interacting quantum gas systems. Here we report on our general results on the origin of GP, new identity and caloric effects in quantum gases of ultracold atoms. We prove that the symmetry of the dilute quantum gas systems leads to a simple identity among three different types of GPs, quantifying caloric effect induced respectively by variations of volume, magnetic field and interaction. Using exact Bethe ansatz solutions, we present a rigorous study of these different GPs and the quantum refrigeration in one-dimensional Bose and Femi gases. Based on the exact equations of states of these systems, we obtain analytic results for the singular behaviour of the GPs and the caloric effects at quantum criticality. We also predict the existence of the lowest temperature for cooling near a quantum phase transition. It turns out that the interaction ramp-up and -down in quantum gases provides a promising protocol of quantum refrigeration in addition to the usual adiabatic demagnetization cooling in solid state materials.

arXiv comment11+7 pages, 4+1 figures

References in corpus (40)

• Feshbach Resonances in Ultracold Gases
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points
• Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
• The power of a critical heat engine
• Attractive Fermi gases with unequal spin populations in highly elongated traps
• Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Divergence of the Grueneisen Ratio at Quantum Critical Points in Heavy Fermion Metals
• Sign change of the Grueneisen parameter and magnetocaloric effect near quantum critical points
• Lieb-Robinson Bound and Locality for General Markovian Quantum Dynamics
• Spin gradient demagnetization cooling of ultracold atoms
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Magnetocaloric effect and magnetic cooling near a field-induced quantum-critical point
• Observation of Quantum Criticality and Luttinger Liquid in One-dimensional Bose Gases
• Divergence of the Magnetic Grüneisen Ratio at the Field-Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Quantum criticality in the spin-$1/2$ Heisenberg chain system copper pyrazine dinitrate
• An Interaction-Driven Many-Particle Quantum Heat Engine: Universal Behavior
• Grüneisen parameter studies on heavy fermion quantum criticality
• Quantum criticality in the cubic heavy-fermion system CeIn_{3-x}Sn_x
• Low temperature thermodynamic properties near the field-induced quantum critical point in DTN
• Anharmonic interatomic force constants and thermal conductivity from Grüneisen parameters: an application to graphene
• Light-cone and diffusive propagation of correlations in a many-body dissipative system
• Cooling through quantum criticality and many-body effects in condensed matter and cold gases
• Quantum Criticality of 1D Attractive Fermi Gas
• Critical behaviours of contact near phase transitions
• Quantized refrigerator for an atomic cloud
• Quantum criticality of spinons
• Thermometry and Refrigeration in a Two-Component Mott Insulator of Ultracold Atoms
• Grüneisen Parameter for Gases
• Dimensionless ratios: characteristics of quantum liquids and their phase transitions
• Magneto-caloric effects, quantum critical points, and the Berezinsky-Kosterlitz-Thouless transition in 2D coupled spin dimer systems
• FFLO correlation and free fluids in the one-dimensional attractive Hubbard model
• Asymptotically Decreasing Lieb-Robinson Velocity for a Class of Dissipative Quantum Dynamics
• Supercritical Grüneisen parameter and its universality at the Frenkel line
• Grüneisen parameters for Lieb-Liniger and Yang-Gaudin models
• Grüneisen parameter for strongly coupled Yukawa systems
• Grüneisen Parameter and Thermal Expansion by the Self-Consistent Renormalization Theory of Spin Fluctuations

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