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{}From Feynman's path integral, we derive quasi-classical quantization rules in supersymmetric quantum mechanics (SUSY-QM). First, we derive a SUSY counterpart of Gutzwiller's formula, from which we obtain the quantization rule of Comtet,…

Condensed Matter · Physics 2009-10-22 Akira Inomata , Georg Junker

We study dephasing of electrons induced by a which path detector and thus verify Bohr's complementarity principle for fermions. We utilize a double path interferometer with two slits, with one slit being replaced by a coherent quantum dot…

Quantum Physics · Physics 2009-10-30 E. Buks , R. Schuster , M. Heiblum , D. Mahalu , V. Umansky

This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle…

General Relativity and Quantum Cosmology · Physics 2026-05-21 David Garcia-Garcia , Jose A. R. Cembranos

We examine the Unruh-DeWitt particle detector coupled to a scalar field in an arbitrary Hadamard state in four-dimensional curved spacetime. Using smooth switching functions to turn on and off the interaction, we obtain a regulator-free…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Jorma Louko , Alejandro Satz

We discuss measures on spaces of unparametrized paths related to the Wiener measure. These measures arise naturally in the study of one-dimensional gravity coupled to scalar fields. Two kinds of discrete approximations are defined, the…

Mathematical Physics · Physics 2015-06-26 B. Durhuus , T. Jonsson

We describe how to construct and compute unambiguously path integrals for particles moving in a curved space, and how these path integrals can be used to calculate Feynman graphs and effective actions for various quantum field theories with…

High Energy Physics - Theory · Physics 2007-05-23 Fiorenzo Bastianelli

In the framework of local thermodynamic equilibrium by Buchholz, Ojima and Roos, a class S_x of observables, whose members are supposed to model idealized measurements of thermal properties of given states at spacetime points x, plays a…

High Energy Physics - Theory · Physics 2007-05-23 Jan Schlemmer

In this work we ask how an Unruh-DeWitt (UD) detector with harmonic oscillator internal degrees of freedom $Q$ measuring an evolving quantum matter field $\Phi(\bm{x}, t)$ in an expanding universe with scale factor $a(t)$ responds. We…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Jen-Tsung Hsiang , Bei-Lok Hu

We propose a new approach to the Rayleigh-Schr\"{o}dinger perturbation expansions of bound states in quantum mechanics. We are inspired by the enormous flexibility of solvable interactions with several (N) discontinuities. Their standard…

Quantum Physics · Physics 2014-11-18 Miloslav Znojil

Many interesting physical theories have analytic classical actions. We show how Feynman's path integral may be defined non-perturbatively, for such theories, without a Wick rotation to imaginary time. We start by introducing a class of…

High Energy Physics - Theory · Physics 2023-05-17 Job Feldbrugge , Neil Turok

A long-standing debate on Gibbons-Hawking (GH) decoherence centers on its unclear thermal nature. In this work, we investigate the robustness of quantum Fisher information (QFI) and local quantum uncertainty (LQU) in the presence of GH…

Quantum Physics · Physics 2025-04-21 Samira Elghaayda , Asad Ali , M. Y. Abd-Rabbou , Mostafa Mansour , Saif Al-Kuwari

This is the first in a series of papers aiming to develop a relativistic quantum information theory in terms of unequal-time correlation functions in quantum field theory. In this work, we highlight two formalisms which together can provide…

Quantum Physics · Physics 2023-02-15 Charis Anastopoulos , Bei-Lok Hu , Konstantina Savvidou

We study the Caldeira-Leggett model where a quantum Brownian particle interacts with an environment or a bath consisting of a collection of harmonic oscillators in the path integral formalism. Compared to the contours that the paths take in…

Statistical Mechanics · Physics 2019-12-11 Joonhyun Yeo

These lectures are intended as an introduction to the technique of path integrals and their applications in physics. The audience is mainly first-year graduate students, and it is assumed that the reader has a good foundation in quantum…

Quantum Physics · Physics 2007-05-23 Richard MacKenzie

We propose a method for simulating an Unruh-DeWitt detector, coupled to a 1+1-dimensional massless scalar field, with a suitably-engineered $\chi^{(2)}$ nonlinear interaction. In this simulation, the parameter playing the role of the…

Quantum Physics · Physics 2020-09-17 Eugene Adjei , Kevin J. Resch , Agata M. Brańczyk

The quantum detection of spacetime conicity was investigated in reference [Phys. Lett. B 820, 136482 (2021)] through the analysis of the response function of an Unruh-deWitt detector coupled to a massless scalar field. In particular, it was…

High Energy Physics - Theory · Physics 2025-06-18 Jefferson Monção da Silva , João Paulo M. Pitelli

Asymptotic observables in quantum field theory beyond the familiar $S$-matrix have recently attracted much interest, for instance in the context of gravity waveforms. Such observables can be understood in terms of Schwinger-Keldysh-type…

High Energy Physics - Theory · Physics 2024-09-03 Leron Borsten , Simon Jonsson , Hyungrok Kim

We construct a relativistic quantum communication channel between two localized qubit systems, mediated by a relativistic quantum field, that can achieve the theoretical maximum for the quantum capacity in arbitrary curved spacetimes using…

Quantum Physics · Physics 2025-07-03 Michael Kasprzak , Erickson Tjoa

We obtain direct, finite, descriptions of a renormalized quantum mechanical system with no reference to ultraviolet cutoffs and running coupling constants, in both the Hamiltonian and path integral pictures. The path integral description…

High Energy Physics - Theory · Physics 2009-10-30 R. J. Henderson , S. G. Rajeev

A continuously measured quantum system may be described by restricted path integrals (RPI) or equivalently by non-Hermitian Hamiltonians. The measured system is then considered as an open system, the influence of the environment being taken…

Quantum Physics · Physics 2007-05-23 Michael B. Mensky