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We use a diagrammatic hopping expansion to calculate finite-temperature Green functions of the Bose-Hubbard model which describes bosons in an optical lattice. This technique allows for a summation of subsets of diagrams, so the divergence…

Statistical Mechanics · Physics 2013-05-30 Matthias Ohliger , Axel Pelster

We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their…

High Energy Physics - Theory · Physics 2009-10-28 Joakim Hallin , Per Liljenberg

The main objective of this paper is to obtain an operator realization for the bosonization of fermions in 1 + 1 dimensions, at finite, non-zero temperature T. This is achieved in the framework of the real time formalism of Thermofield…

High Energy Physics - Theory · Physics 2009-11-11 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

Exact and approximate expressions for thermodynamic characteristics of heated matter, which consists of particles with finite mass-widths, are constructed. They are expressed in terms of Fermi/Bose distributions and spectral functions,…

Nuclear Theory · Physics 2008-11-26 D. N. Voskresensky

In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by…

Correlation functions of exactly solvable models can be described by differential equation [Barough, McCoy, Wu]. In this paper we show that for non free fermionic case differential equations should be replaced by integro-differential…

High Energy Physics - Theory · Physics 2016-09-06 T. Kojima , V. Korepin , N. Slavnov

For mixtures of Bose and Fermi alkali atoms, the Fermion degrees of freedom can be integrated out in their {\bf finite temperature} partition function. The final result can be expanded as a power series in the Boson density. Under…

Statistical Mechanics · Physics 2007-05-23 S. T. Chui , V. N. Ryzhov

Fourier expansion of the integrand in the path integral formula for the partition function of quantum systems leads to a deterministic expression which, though still quite complex, is easier to process than the original functional integral.…

Mathematical Physics · Physics 2023-05-05 Andras Suto

We present analytical studies of a boson-fermion mixture at zero temperature with spin-polarized fermions. Using the Thomas-Fermi approximation for bosons and the local-density approximation for fermions, we find a large variety of…

Quantum Gases · Physics 2018-03-14 Christian Ufrecht , Matthias Meister , Albert Roura , Wolfgang P. Schleich

The pion nucleon vertex function at finite temperature is studied in the framework of: (a) the thermal (linear) sigma model to leading (one-loop) order, and (b) a thermal QCD-Finite Energy Sum Rule. Results from both methods indicate that…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , C. van Gend , M. Loewe

The dynamics of spin-boson systems at very low temperatures has been studied using a real-time path-integral simulation technique which combines a stochastic Monte Carlo sampling over the quantum fluctuations with an exact treatment of the…

chem-ph · Physics 2009-10-22 Reinhold Egger , C. H. Mak

We investigate the relationship between ground-state (zero-temperature) quantum phase transitions in systems with variable Hamiltonian parameters and classical (temperature-driven) phase transitions in standard thermodynamics. An analogy is…

Nuclear Theory · Physics 2009-11-11 Pavel Cejnar , Stefan Heinze , Jan Dobes

Understanding decoherence processes is crucial in the study of open quantum systems. In this paper, we discuss the mechanism of pure-dephasing process with a newly proposed boson-boson model, namely, a bosonic field coupled to another…

Quantum Physics · Physics 2018-12-05 Fei-Lei Xiong , Li Li , Zeng-Bing Chen

For distinguishable particles it is well known that Brownian motion and a Feynman-Kac functional can be used to calculate the path integral (for imaginary times) for a general class of scalar potentials. In order to treat identical…

Condensed Matter · Physics 2009-10-28 L. F. Lemmens , F. Brosens , J. T. Devreese

We discuss the interaction of a mobile quantum impurity with a Bose-Einstein condensate of atoms at finite temperature. To describe the resulting Bose polaron formation we extend the dynamical variational approach of [Phys.Rev.Lett. 117,…

Quantum Gases · Physics 2020-07-01 David Dzsotjan , Richard Schmidt , Michael Fleischhauer

The partition function of composite bosons ("cobosons" for short) is calculated in the canonical ensemble, with the Pauli exclusion principle between their fermionic components included in an exact way through the finite temperature…

Statistical Mechanics · Physics 2016-12-13 Shiue-Yuan Shiau , Monique Combescot , Yia-Chung Chang

We consider a refined version of the string-net model which assigns a different energy cost to each plaquette excitation. Using recent exact calculations of the energy-level degeneracies we compute the partition function of this model and…

Other Condensed Matter · Physics 2024-10-23 Anna Ritz-Zwilling , Jean-Noël Fuchs , Steven H. Simon , Julien Vidal

We use standard polynomial expansion technique to show the existence of a relation between polytropic model and the description of gas spheres at finite temperature. A numerical analysis is made concerning the obtained perturbative…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-24 Claudio M. G. de Sousa , Evandro A. de Araujo

Dynamical decoupling is a technique aimed at suppressing the interaction between a quantum system and its environment by applying frequent unitary operations on the system alone. In the present paper, we analytically study the dynamical…

Quantum Physics · Physics 2025-08-15 Alexander Hahn , Daniel Burgarth , Davide Lonigro

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems,…

Statistical Mechanics · Physics 2008-02-21 Kohei Motegi , Kazumitsu Sakai
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