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We introduce a nonperturbative, first principles numerical approach for solving time-dependent problems in quantum field theory, using light-front quantization. As a first application we consider QED in a strong background field, and the…

Nuclear Theory · Physics 2013-09-19 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

The typicality approach and the Hilbert space averaging method as its technical manifestation are important concepts of quantum statistical mechanics. Extensively used for expectation values we extend them in this paper to transition…

Quantum Physics · Physics 2020-08-25 Nico Hahn , Thomas Guhr , Daniel Waltner

We study quantum teleportation between two different types of optical qubits, one of which is "particle-like" and the other "field-like," via hybrid entangled states under the effects of decoherence. We find that teleportation from…

Quantum Physics · Physics 2012-12-05 Kimin Park , Seung-Woo Lee , Hyunseok Jeong

We show an analogy between static quantum emitters coupled to a single mode of a quantum field and accelerated Unruh-DeWitt detectors. We envision a way to simulate a variety of relativistic quantum field settings beyond the reach of…

Quantum Physics · Physics 2012-02-22 M. del Rey , D. Porras , E. Martin-Martinez

Though theoretical treatments of quantum tunnelling within single-particle quantum mechanics are well-established, at present, there is no quantum field-theoretic description (QFT) of tunnelling. Due to the single-particle nature of quantum…

High Energy Physics - Theory · Physics 2024-10-10 Rosemary Zielinski , Patrick McGlynn , Cedric Simenel

Extending the concepts of light-front field theory to quantum statistics provides a novel approach towards nuclear matter under extreme conditions. Such conditions exist, e.g., in neutron stars or in the early stage of our universe. They…

Nuclear Theory · Physics 2009-11-10 Michael Beyer

Transition probabilities are an important and useful tool in quantum mechanics. However, in their present form, they are limited in scope and only apply to pure quantum states. In this article we extend their applicability to mixed states…

Quantum Physics · Physics 2024-04-02 Stan Gudder

As is well known, the existed perturbation theory can be applied to calculations of energy, state and transition probability in many quantum systems. However, there are different paths and methods to improve its calculation precision and…

Quantum Physics · Physics 2007-05-23 Jian Tang , An Min Wang

It was recently shown that a generalization of quantum Turing machines (QTMs), in which potentials are associated with elementary steps or transitions of the computation, generates potential distributions along computation paths of states…

Condensed Matter · Physics 2009-10-30 Paul Benioff

A noncommutative and non-anticommutative quantum field theory is formulated in a superspace, in which the superspace coordinates satisfy noncommutative and non-anticommutative relations. A perturbative scalar field theory is investigated in…

High Energy Physics - Theory · Physics 2009-10-31 J. W. Moffat

Quantum field theory reconciles quantum mechanics and special relativity, and plays a central role in many areas of physics. We develop a quantum algorithm to compute relativistic scattering probabilities in a massive quantum field theory…

Quantum Physics · Physics 2015-06-03 Stephen P. Jordan , Keith S. M. Lee , John Preskill

This paper presents a study of the properties of a matrix model that was introduced to describe transitions between all Wigner surmises of Random Matrix theory. New results include closed-form exact analytical expressions for the…

Mathematical Physics · Physics 2012-03-01 Fredy Zypman

We review recent results on twisted noncommutative quantum field theory by embedding it into a general framework for the quantization of systems with a twisted symmetry. We discuss commutation relations in this setting and show that the…

High Energy Physics - Theory · Physics 2008-11-26 Jochen Zahn

We remark that the often ignored quantum probability current is fundamental for a genuine understanding of scattering phenomena and, in particular, for the statistics of the time and position of the first exit of a quantum particle from a…

Quantum Physics · Physics 2008-02-03 M. Daumer , D. Duerr , S. Goldstein , N. Zanghi

We dwell upon certain points concerning the meaning of quantum field theory, among these the problems with the perturbative approach, and the question raised by tHooft of the existence of the theory in a well defined mathematical sense, as…

Mathematical Physics · Physics 2021-07-06 Walter F. Wreszinski

By putting a confined inter source, we construct a model which can give us convergent solution from free field equation. On the other hand, the solution of new field equation can be separated into two parts, one part is just same as the one…

High Energy Physics - Theory · Physics 2007-05-23 Gang Zhao

We analyze some consequences of two possible interpretations of the action of the ladder operators emerging from generalized Heisenberg algebras in the framework of the second quantized formalism. Within the first interpretation we…

High Energy Physics - Theory · Physics 2009-11-07 V. B. Bezerra , E. M. F. Curado , M. A. Rego-Monteiro

For classical field theories with probabilistic initial conditions the classical field observables are an idealization. Their arbitrarily precise values poorly reflect the characteristic uncertainty in the presence of substantial…

Quantum Physics · Physics 2026-03-06 Christof Wetterich

The recently proposed probability representation of quantum mechanics is generalized to quantum field theory. We introduce a probability distribution functional for field configurations and find an evolution equation for such a…

High Energy Physics - Theory · Physics 2007-05-23 V. I. Man'ko , L. Rosa , P. Vitale

We propose a general formulation of perturbative quantum field theory on (finitely generated) projective modules over noncommutative algebras. This is the analogue of scalar field theories with non-trivial topology in the noncommutative…

High Energy Physics - Theory · Physics 2007-05-23 V. Gayral , J. -H. Jureit , T. Krajewski , R. Wulkenhaar