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We introduce a two-parameter deformation of the classical Bosonic, Fermionic, and Boltzmann Fock spaces that is a refinement of the $q$-Fock space of [BS91]. Starting with a real, separable Hilbert space $H$, we construct the $(q,t)$-Fock…

Operator Algebras · Mathematics 2012-03-22 Natasha Blitvić

Destructive interference of single-electron tunneling between three quantum dots can trap an electron in a coherent superposition of charge on two of the dots. Coupling to external charges causes decoherence of this superposition, and in…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 C. W. Groth , B. Michaelis , C. W. J. Beenakker

The symmetrization postulate and the associated Bose/Fermi (anti)-commutators for field mode operators are among the pillars on which local quantum field theory lays its foundations. They ultimately determine the structure of Fock space and…

High Energy Physics - Theory · Physics 2012-12-06 Michele Arzano

Physics from beyond the Standard Model can induce four fermion operators involving a quark, an anti-quark, a lepton and an anti-lepton. The coefficients of these operators can be constrained by various observations. We update the bounds…

High Energy Physics - Phenomenology · Physics 2010-08-03 Carpentier Michael

It is well known that bosons and fermions exhibit opposite behaviors when experiencing interference, in the sense that bosons have a tendency to bunch whereas fermions have a tendency to antibunch. Recently, this complementarity was…

Quantum Physics · Physics 2026-04-28 Marco Robbio , Michael G. Jabbour , Nicolas J. Cerf

Bohm's interpretation of Quantum Mechanics leads to the derivation of a Quantum Kinetic Equation (QKE): in the present work, propagation of waves in charged quantum gases is investigated starting from this QKE. Dispersion relations are…

Quantum Physics · Physics 2018-02-14 D. Mostacci , V. Molinari , F. Pizzio

It is known from the early work of May in 1964 that ideal Bose gas do not exhibit condensation phenomenon in two dimensions. On the other hand, it is also known that the thermostatistics arising from q-deformed oscillator algebra has no…

Statistical Mechanics · Physics 2015-05-13 A. Lavagno , P. Narayana Swamy

The quantum corrections related to the ideal gas model that are often considered are those which are related to the particles nature: bosons or fermions. These corrections lead respectively to the Bose-Einstein and Fermi-Dirac statistics.…

In quantum theory, particles in three spatial dimensions come in two different types: bosons or fermions, which exhibit sharply contrasting behaviours due to their different exchange statistics. Could more general forms of probabilistic…

Quantum Physics · Physics 2013-11-05 Oscar C. O. Dahlsten , Andrew J. P. Garner , Jayne Thompson , Mile Gu , Vlatko Vedral

Entropic force has been drawing the attention of theoretical physicists following E. Verlinde's work in 2011 to derive Newton's second law and Einstein's field equations of general relativity. In this paper, we extend the idea of entropic…

Quantum Physics · Physics 2024-12-03 Jayarshi Bhattacharya , Gautam Gangopadhyay , Sunandan Gangopadhyay

Ultracold neutral bosons in a rapidly rotating atomic trap have been predicted to exhibit fractional quantum Hall-like states. We describe how the composite fermion theory, used in the description of the fractional quantum Hall effect for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Regnault , C. C. Chang , Th. Jolicoeur , J. K. Jain

Quantum mechanics allows paraparticles with mixed Bose-Fermi statistics that have not been experimentally confirmed. We propose a trapped-ion scheme whose effective dynamics are equivalent to a driven para-Bose oscillator of even order. Our…

Quantum Physics · Physics 2017-03-14 C. Huerta Alderete , B. M. Rodríguez-Lara

Based on Tsallis entropy and the corresponding deformed exponential function, generalized distribution functions for bosons and fermions have been used since a while. However, aiming at a non-extensive quantum statistics further…

Statistical Mechanics · Physics 2015-03-11 T. S. Biro , K. M. Shen , B. W. Zhang

This is a study of $q$-Fermions arising from a q-deformed algebra of harmonic oscillators. Two distinct algebras will be investigated. Employing the first algebra, the Fock states are constructed for the generalized Fermions obeying Pauli…

Quantum Physics · Physics 2015-06-26 P. Narayana Swamy

The linear transport properties of a model molecular transistor with electron-electron and electron-phonon interactions were investigated analytically and numerically. The model takes into account phonon modulation of the electronic energy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. S. Cornaglia , D. R. Grempel , H. Ness

An approach is proposed enabling to effectively describe, for relativistic heavy-ion collisions, the observed deviation from unity of the intercept \lambda (measured value corresponding to zero relative momentum {\bf p} of two registered…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. V. Anchishkin , A. M. Gavrilik , N. Z. Iorgov

In constrast to discretized space-time approximations to continuum quantum field theories, discretized velocity space approximations to continuum quantum field theories are investigated. A four-momentum operator is given in terms of bare…

Nuclear Theory · Physics 2008-01-29 W. H. Klink

We continue the program started in cond-mat/9809384 and explain the statistics of the excitations for the generalizations of the paired states in the quantum Hall effect in terms of the parafermion statistics. We show that these excitations…

Mesoscale and Nanoscale Physics · Physics 2008-02-08 V. Gurarie , E. Rezayi

We derive the relativistic transformation laws for the annihilation operators of the scalar field, the massive spin-1 vector field, the electromagnetic field and the spinor field. The technique developed here involves straightforward…

Quantum Physics · Physics 2007-05-23 Pieter Kok , Samuel L. Braunstein

We show that virtual particles, despite being unobservable, can be described by quantum operators which can be interpreted under certain conditions as valid qubit quantum states. For a single virtual fermion, we prove that such a state is a…

Quantum Physics · Physics 2023-07-31 Gonçalo M. Quinta