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We discover that quantum dynamical tunneling, occurring between phase space regions in a classically forbidden way, can break conserved quantities in pseudointegrable systems. We rigorously prove that a conserved quantity in a class of…

Chaotic Dynamics · Physics 2024-05-21 Lingchii Kong , Zongping Gong , Biao Wu

We show that scattering a quantum particle on a one-dimensional potential barrier as well as scattering the electromagnetic wave on a quasi-one-dimensional layered structure (both represent scattering problems with one 'source' and two…

Quantum Physics · Physics 2017-05-15 Nikolay L. Chuprikov

The quantum field theory for a massless scalar field on a two-dimensional non-singular black hole spacetime gives a non-vanishing probability for a particle to tunnel out of the black hole. The black hole spacetime contains an outer and an…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Edward Wilson-Ewing

In this contribution we describe some interesting interplay between quantum theory, general relativity and thermodynamics. In order to highlight the connection between these theories, we describe two approaches that allow to calculate…

General Relativity and Quantum Cosmology · Physics 2013-10-28 Giovanni Acquaviva

Experiments with evanescent modes and tunneling particles have shown that i) their signal velocity may be faster than light, ii) they are described by virtual particles, iii) they are nonlocal and act at a distance, iv) experimental…

Quantum Physics · Physics 2015-05-18 Guenter Nimtz

The tunneling time of particle through given barrier is commonly defined in terms of "internal clocks" which effectively measure the interaction time with internal degrees of freedom of the barrier. It is known that this definition of the…

Condensed Matter · Physics 2007-05-23 Uri Peskin , Michael Galperin , Abraham Nitzan

We study the decay of general initial states out of a metastable potential well in quantum mechanics. We provide a closed-form expression for the probability current that tunnels through the barrier in terms of the resonant states into…

Quantum Physics · Physics 2026-05-07 Oliver Janssen , Matthew Kleban , Cameron Norton

We consider the possibility that tunneling in a degenerate double-well potential in de Sitter spacetime leads to coherent oscillations of quantum probability to find the system in a given well. We concentrate on the case when the mass scale…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Khlebnikov

At the intersection of quantum theory and relativity lies the possibility of a clock experiencing a superposition of proper times. We consider quantum clocks constructed from the internal degrees of relativistic particles that move through…

Quantum Physics · Physics 2021-02-09 Alexander R. H. Smith , Mehdi Ahmadi

Motivated by cosmological examples we study quantum field theoretical tunnelling from an initial state where the "classical field", i.e. the vacuum expectation value of the field operator is spatially homogeneous but performing a…

High Energy Physics - Phenomenology · Physics 2017-09-13 Luc Darmé , Joerg Jaeckel , Marek Lewicki

Quantum noise with exchange and tunneling is studied within time-dependent wave packets. A novel expression for the quantum noise of two identical particles injected simultaneously from opposite sides of a tunneling barrier is presented.…

Quantum Physics · Physics 2016-06-22 Enrique Colomés , Damiano Marian , Xavier Oriols

We develop a semiclassical approach for the statistics of the time delay in quantum chaotic systems in the presence of a tunnel barrier, for broken time-reversal symmetry. Results are obtained as asymptotic series in powers of the…

Chaotic Dynamics · Physics 2023-02-20 Marcel Novaes , Jack Kuipers

Quantum tunneling is a phenomenon in which a quantum state traverses energy barriers above the energy of the state itself. Tunneling has been hypothesized as an advantageous physical resource for optimization. Here we present the first…

We revisit the path integral description of quantum tunneling and lay the groundwork for its generalization to excites states through real-time path integral techniques. For clarity, we focus on the simple toy model of a point particle in a…

High Energy Physics - Theory · Physics 2025-07-30 Thomas Steingasser , David I. Kaiser

The quantum tunneling time remains the subject of heated debate, and one of its most curious features is faster-than-light or superluminal tunneling. Our tunnel-ionization model of the time-delay, presented in previous work, shows good…

Quantum Physics · Physics 2026-02-24 Ossama Kullie , Igor A. Ivanov

We present a formalism based on the functional Schr\"odinger equation to analyse time-dependent tunneling in quantum field theory at the semi-classical level. The full problem is reduced step by step to a finite dimensional quantum…

High Energy Physics - Theory · Physics 2019-11-27 Luc Darmé , Joerg Jaeckel , Marek Lewicki

It has been shown in Phys. Rev. Lett., 108 170402 (2012) (https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.108.170402), that quantum tunneling is instantaneous using a time-of-arrival (TOA) operator constructed by Weyl quantization…

Quantum Physics · Physics 2024-12-10 Philip Caesar Flores , Dean Alvin Pablico , Eric Galapon

We develop a general theory of the time distribution of quantum events, applicable to a large class of problems such as arrival time, dwell time and tunneling time. A stopwatch ticks until an awaited event is detected, at which time the…

Quantum Physics · Physics 2021-03-17 Danijel Jurman , Hrvoje Nikolic

This paper revisited quantum tunneling dynamics through a square double-barrier potential. We emphasized the similarity of tunneling dynamics through double-barrier and that of optical Fabry--P$\acute{e}$rot (FP) interferometer. Based on…

Quantum Physics · Physics 2012-10-08 Zhi Xiao , Shi-sen Du , Chun-Xi Zhang

We investigate quantum correlations in time in different approaches. We assume that temporal correlations should be treated in an even-handed manner with spatial correlations. We compare the pseudo-density matrix formalism with several…

Quantum Physics · Physics 2020-12-23 Tian Zhang , Oscar Dahlsten , Vlatko Vedral