Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture

Pâţu, Ovidiu I.; Klümper, Andreas

doi:10.1103/physreva.99.013628

Cited by 5 publications

(1 citation statement)

References 134 publications

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“…In addition to the determination of the QCPs and the universality class of the transitions a problem of considerable importance is represented by the identification of the boundaries of the QC regions. It was argued recently [81,[93][94][95][96] that the grandcanonical specific heat c…”

Section: A Qpts Induced By the Variation Of The Chemical Potential Amentioning

confidence: 99%

Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field

2020

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Even though the Hubbard model is one of the most fundamental models of highly correlated electrons, analytical and numerical data describing its thermodynamics at nonzero magnetization are relatively scarce. We present a detailed investigation of the thermodynamic properties for the one dimensional repulsive Hubbard model in the presence of an arbitrary magnetic field for all values of the filling fraction and temperatures as low as T ∼ 0.005 t. Our analysis is based on the system of integral equations derived in the quantum transfer matrix framework. We determine the critical exponents of the quantum phase transitions and also provide analytical derivations for some of the universal functions characterizing the thermodynamics in the vicinities of the quantum critical points. Extensive numerical data for the specific heat, susceptibility, compressibility, and entropy are reported. The experimentally relevant double occupancy presents an interesting doubly nonmonotonic temperature dependence at intermediate values of the interaction strength and also at large repulsion and magnetic fields close to the critical value. The susceptibility in zero magnetic field has a logarithmic singularity at low temperatures for all filling factors similar to the behavior of the same quantity in the XXX spin chain. We determine the density profiles for a harmonically trapped system and show that while the total density profile seems to depend mainly on the value of chemical potential at the center of the trap the distribution of phases in the inhomogeneous system changes dramatically as we increase the magnetic field.

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Section: A Qpts Induced By the Variation Of The Chemical Potential Amentioning

confidence: 99%

Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field

2020

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The theory of generalised hydrodynamics for the one-dimensional Bose gas

Kerr,

Kheruntsyan

2023

AAPPS Bull.

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This article reviews the recent developments in the theory of generalised hydrodynamics (GHD) with emphasis on the repulsive one-dimensional Bose gas. We discuss the implications of GHD on the mechanisms of thermalisation in integrable quantum many-body systems as well as its ability to describe far-from-equilibrium behaviour of integrable and near-integrable systems in a variety of quantum quench scenarios. We outline the experimental tests of GHD in cold-atom gases and its benchmarks with other microscopic theoretical approaches. Finally, we offer some perspectives on the future direction of the development of GHD.

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Convective boson-fermion pairing mode in one-dimensional oscillating optical superlattice

2019

Physics Letters A

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Boson-fermion mixture exist in nature as quark-gluon plasma and 3 He-4 He mixture. We proposed a convective boson-fermion pairing theory, that can be implemented by ultracold atoms in optical superlattice transformation between different configurations. This transformation may induce the collision and division between boson and fermion, which defines a theoretical convective pairing state. The paring Hamiltonian is Hermitian but it always generate a complex energy spectrum. Each finite gap state can be classified by a topological winding number. The stable pairing state only exists for certain discrete momentum vector zones. An unstable linear dispersion connects two neighboring stable pairing states. The boson-fermion gap function controls the momentum gap space between two neighboring pairing state. The critical temperature of transition from a gapped to gapless phase shows a maximal value at negative fermion chemical potential. The density of state for the pairing excitation diverges at low energy, thus most pairing states are observable at low energy.

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Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture

Cited by 5 publications

References 134 publications

Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field

Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field

The theory of generalised hydrodynamics for the one-dimensional Bose gas

Convective boson-fermion pairing mode in one-dimensional oscillating optical superlattice

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