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We study the condensed phase of a Bose-Fermi mixture with a tunable pairing interaction between bosons and fermions with many-body diagrammatic methods and fixed-node diffusion Quantum Monte Carlo simulations. A universal behavior of the…

Quantum Gases · Physics 2015-02-10 Andrea Guidini , Gianluca Bertaina , Davide Emilio Galli , Pierbiagio Pieri

Using eigen-functional bosonization method, we study quantum many-particle systems, and show that the quantum many-particle problems end in to solve the differential equation of the phase fields which represent the particle correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

We develop a new method for bosonizing the Fermi surface based on the formalism of the coadjoint orbits. This allows one to parametrize the Fermi surface by a bosonic field that depends on the spacetime coordinates and on the position on…

Strongly Correlated Electrons · Physics 2022-08-31 Luca V. Delacretaz , Yi-Hsien Du , Umang Mehta , Dam Thanh Son

Non-Fermi liquid behavior is found for the first time in a two-dimensional (2D) system with non-singular interactions using Haldane's bosonization scheme. The bosonized system is solved exactly by a generalized Bogoliubov transformation.…

Condensed Matter · Physics 2015-06-25 Y. Yu , Y. M. Li , N. d'Ambrumenil

In relativistic quantum field theory particles of half-integer spin must obey Fermi-Dirac statistics. Their quantum operators must anticommute at spacelike separation in contrast to commuting physical observables. We show that Fermi-Dirac…

High Energy Physics - Theory · Physics 2018-08-21 Adam Bednorz

We show that abelian bosonization of 1+1 dimensional fermion systems can be interpreted as duality transformation and, as a conseguence, it can be generalized to arbitrary dimensions in terms of gauge forms of rank $d-1$, where $d$ is the…

High Energy Physics - Theory · Physics 2007-05-23 P. A. Marchetti

After release from the trap the momentum distribution of an impenetrable gas asymptotically approaches that of a spinless noninteracting Fermi gas in the initial trap. This phenomenon is called dynamical fermionization and, very recently,…

Quantum Gases · Physics 2022-06-13 Ovidiu I. Patu

We consider a local effective model for fermionic low lying excitations in a metal. Introducing a boson auxiliary field and taking into account that the most significant interactions between quasiparticles arise for those which are near a…

Strongly Correlated Electrons · Physics 2008-02-03 A. Ferraz , S. L. Garavelli , T. Saikawa

We study, via bosonization, the Landau fixed point for the problem of interacting spinless fermions near the Fermi surface in dimensions higher than one. We rederive the bosonic representation of the Fermi operator and use it to find the…

Condensed Matter · Physics 2008-02-03 A. H. Castro Neto , Eduardo H. Fradkin

In [1] a new bosonization procedure has been illustrated, which allows to express a fermionic gaussian system in terms of commuting variables at the price of introducing an extra dimension. The Fermi-Bose duality principle established in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Franco Ferrari

Blurring the boundary between bosons and fermions lies at the heart of a wide range of intriguing quantum phenomena in multiple disciplines, ranging from condensed matter physics and atomic, molecular and optical physics to high energy…

Quantum Gases · Physics 2021-01-04 Bo Song , Yangqian Yan , Chengdong He , Zejian Ren , Qi Zhou , Gyu-Boong Jo

We present an exact mapping of models of interacting fermions onto boson models. The bosons correspond to collective excitations in the initial fermionic models. This bosonization is applicable in any dimension and for any interaction…

Strongly Correlated Electrons · Physics 2015-05-13 K. B. Efetov , C. Pepin , H. Meier

We work out the dynamics of the compressible edge of the quantum Hall system based on the electrostatic model of Chklovskii et al.. We introduce a generalized version of Wen's hydrodynamic quantization approach to the dynamics of sharp edge…

Condensed Matter · Physics 2009-10-28 J. H. Han , D. J. Thouless

We theoretically investigate quantum-mechanical dynamics of quasi-one-dimensional boson-fermion mixtures of atomic gases trapped in a toroidal potential, where effective inter-atomic interactions are tunable and affect the dynamics. We…

Quantum Gases · Physics 2013-01-08 Ryosuke Shibato , Takushi Nishimura

We use a bosonization approach to show that the momentum distribution $n_{\bf{k}}$ of normal Fermi systems with sufficiently singular interactions is analytic in the vicinity of the non-interacting Fermi surface. These include singular…

Condensed Matter · Physics 2009-10-28 Peter Kopietz

We study fermions in two dimensions interacting via a long-ranged 1/r potential for small particle separations and a short-ranged 1/r^3 potential for larger separations in comparison to a length scale \xi. We compute the energy of the…

Strongly Correlated Electrons · Physics 2015-06-12 Benjamin M. Fregoso , C. A. R. Sá de Melo

We study weak itinerant ferromagnetism in one-dimensional Fermi systems using perturbation theory and bosonization. We find that longitudinal spin fluctuations propagate ballistically with velocity v_m << v_F, where v_F is the Fermi…

Strongly Correlated Electrons · Physics 2009-11-07 Lorenz Bartosch , Marcus Kollar , Peter Kopietz

We describe two distinct approaches for bosonization in higher dimensions; one is based on a direct comparison of current correlation functions while the other relies on a Master lagrangean formalism. These are used to bosonise the Massive…

High Energy Physics - Theory · Physics 2009-10-30 R. Banerjee , E. C. Marino

We study the Tomonaga-Luttinger model in the presence of magnetic (Kondo-like) impurities. By using a recently proposed field-theoretical approach to non-local bosonization we obtain the effective action describing the low-energy charge and…

Condensed Matter · Physics 2007-05-23 C. M. Naón , M. C. von Reichenbach , M. L. Trobo

We develop the formalism for the one-loop no-boundary state in a cosmological model with fermions. We use it to calculate the reduced density matrix for an inflaton field by tracing out the fermionic degrees of freedom, yielding both the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Barvinsky , A. Kamenshchik , C. Kiefer
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