Cooling and thermometry of atomic Fermi gases

Onofrio, Roberto

doi:10.3367/ufnr.2016.07.037873

Cited by 31 publications

(32 citation statements)

References 239 publications

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“…see cooling and thermometry of atomic Fermi gases [45] III.4. The Grüneisen parameters at quantum criticality Quantum phase transitions occur in the 1D attractive Fermi gas at zero temperature by varying the external fields like chemical potential and magnetic field.…”

Section: Iii3 the Gps For The Fflo Like Pairing Phasementioning

confidence: 99%

Grüneisen parameters for the Lieb-Liniger and Yang-Gaudin models

Guan

2019

Phys. Rev. B

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Using the Bethe ansatz solution, we analytically study expansionary, magnetic and interacting Grüneisen parameters (GPs) for one-dimensional (1D) Lieb-Liniger and Yang-Gaudin models. These different GPs elegantly quantify the dependences of characteristic energy scales of these quantum gases on the volume, the magnetic field and the interaction strength, revealing the caloric effects resulted from the variations of these potentials. The obtained GPs further confirm an identity which is incurred by the symmetry of the thermal potential. We also present universal scaling behavior of these GPs in the vicinities of the quantum critical points driven by different potentials. The divergence of the GPs not only provides an experimental identification of non-Fermi liquid nature at quantum criticality but also elegantly determine low temperature phases of the quantum gases. Moreover, the pairing and depairing features in the 1D attractive Fermi gases can be captured by the magnetic and interacting GPs, facilitating experimental observation of quantum phase transitions.Our results open to further study the interaction-and magnetic-field-driven quantum refrigeration and quantum heat engine in quantum gases of ultracold atoms.PACS numbers:

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Section: Iii3 the Gps For The Fflo Like Pairing Phasementioning

confidence: 99%

Grüneisen parameters for the Lieb-Liniger and Yang-Gaudin models

Guan

2019

Phys. Rev. B

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“…Various quench protocols have been successfully demonstrated [48,49,48]. Besides, quantum quanches can be applied to the so-called "shortcut to adiabaticity" in cooling atoms [50,51,52,53,54,55].…”

Section: Quench Protocolmentioning

confidence: 99%

Quantum quench and thermalization of one-dimensional Fermi gas via phase-space hydrodynamics

2018

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By exploring a phase space hydrodynamics description of one-dimensional free Fermi gas, we discuss how systems settle down to steady states described by the generalized Gibbs ensembles through quantum quenches. We investigate time evolutions of the Fermions which are trapped in external potentials or a circle for a variety of initial conditions and quench protocols. We analytically compute local observables such as particle density and show that they always exhibit power law relaxation at late times. We find a simple rule which determines the power law exponent. Our findings are, in principle, observable in experiments in an one dimensional free Fermi gas or Tonk's gas (Bose gas with infinite repulsion). 1 manas.kulkarni@icts.res.in 2 mandal@theory.tifr.res.in 3 morita.takeshi@shizuoka.ac.jp of thermalization of local observables in a so-called free systems or integrable systems where the thermal ensemble is often characterized by an infinite number of chemical potentials, corresponding to an infinite number of conserved quantities. Such an ensemble is called a GGE (generalized Gibbs ensemble). These issues have been summarized in a number of articles in recent years; for a partial list of references, see [1,2,3].The issue of thermalization in integrable models [4,5,6,7,8,9,10,11] has been discussed in detail some time ago in Ref [12], where thermalization has been shown to occur under some general assumptions. In spite of such general arguments, it is important to see if one can obtain some explicit results about time evolution of observables, especially at long times. For quantum quenches leading to gapless Hamiltonians, such explicit results were obtained at long times in Ref.[13] which rigorously showed thermalization of the reduced density matrix of subsystems of a large system. Fully exact time-dependence and subsequent results on thermalization were obtained for free scalars and Fermions in 1+1 dimensions for mass quenches ending at zero mass in [14].In this paper, we will discuss quantum quench in a free Fermi gas in one space dimension, by using a large-N technique 4 . This subject was dealt with earlier in a paper [17] by two of the present authors, where it was shown how moments of the Fermion density approached thermalization from particular sudden quenches. Apart from studies of thermalization, several other dynamical aspects, such as the onset of shock fronts, have been studied in large-N non-interacting as well as interacting Fermi gases [18,19,20,21,22] (see also the Appendix A) ; finite-N corrections have been studied in [23].The importance of the large-N limit is that the Fermions are described by a semiclassical fluid in the phase space. As it turns out, for simple phase space configurations, the equations describing such phase space fluids boil down to equations of conventional hydrodynamics. Thus, it is tempting to think that thermalization can be understood somehow in terms of the equations of conventional hydrodynamics, which would be of significant interest. However, conventional hydrodyna...

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“…The fermionic polaron formed by a mobile light bosonic impurity dressed by the polarized fermions is widely studied in the fermi gases as well as the superfluid quantum state, and the bosonic polaron is also widely explored in Bose-Einstein condensate (BEC) [1,2] using the method of momentum-resolved radio-frequency (rf) spectroscopy [3], or in a bosonic bath with the induced lattice vibration (distortion) in a solid state system. The repulsive polaron has also been realized by experiments [3,4,5] in a BEC.…”

Section: Introductionmentioning

confidence: 99%

Electronic properties and polaronic dynamics of semi-Dirac system within Ladder approximation

2020

Phys. Scr.

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We investigate the electronic properties of the semi-Dirac system and its polaronic dynamics when coupled with a fermi bath with quadratic dispersion. The electronic anisotropic transport properties and the semiclassical dynamics of the semi-Dirac system are studied, including the density-of-states, conductivity, transport relaxation rate, specific heat, electrical current denity, and free energy. The attractive polaron formed as the semi-Dirac impurity dressed with the particle-hole excitations in a two-dimensional system are studied both analytically and numerically. The pair propagator, self-energy, spectral function are being detailly calculated and discussed. The method of medium T -matrix approximation (non-self-consistent), which equivalent to the partially dressed interaction vertex by summing over all ladder diagrams, is applied, and compared with some other methods (for many-body problem), like the leading-order 1/N expansion (GW approximation), Hartree-Fock theory, and the Nozieres-Schmitt-Rink theory. Since we foucs on the weak-coupling region, the mean-field approximation is also applicable. The polaron properties is related to the anisotropic effective masses of the semi-Dirac system. That's in contrast to the polarons formed in the surface of normal Dirac systems which has an isotropic dispersion, since the anisotropic dispersion of the semi-Dirac systems results in anisotropic effective mass and anisotropic charge carrier transport. Besides, the symmetry between electron and hole is also broken since the effective masses of the electron and hole are different, which are affected by the polaronic effect when the semi-Dirac material is deposited on a polar substrate, like hBN. The self-localization, short-range potential, and experimental methods as well as the possible formation of the bose polaron on the surface of semi-Dirac system are also discussed in the end. Our results are useful also for the investigation of two/three-dimensional bosonic polaron as well as the polarons in other solid state systems, like the magnetic matter or the topological systems. *

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Cooling and thermometry of atomic Fermi gases

Cited by 31 publications

References 239 publications

Grüneisen parameters for the Lieb-Liniger and Yang-Gaudin models

Grüneisen parameters for the Lieb-Liniger and Yang-Gaudin models

Quantum quench and thermalization of one-dimensional Fermi gas via phase-space hydrodynamics

Electronic properties and polaronic dynamics of semi-Dirac system within Ladder approximation

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