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Using a time operator, we define a tunneling time for a particle going through a barrier. This tunneling time is the average of the phase time introduced by other authors. In addition to the delay time caused by the resonances over the…

Quantum Physics · Physics 2009-05-27 Gonzalo Ordonez , Naomichi Hatano

We use path-integrals to derive a general expression for the semiclassical approximation to the partition function of a one-dimensional quantum-mechanical system. Our expression depends solely on ordinary integrals which involve the…

Quantum Physics · Physics 2007-05-23 C. A. A. de Carvalho , R. M. Cavalcanti

The time evolution of an unstable quantum mechanical system coupled with an external measuring agent is investigated. According to the features of the interaction Hamiltonian, a quantum Zeno effect (hindered decay) or an inverse quantum…

Quantum Physics · Physics 2010-01-31 P. Facchi , S. Pascazio

A general coherent control scenario to suppress, or accelerate, tunneling of quantum states decaying into a continuum, is investigated. The method is based on deterministic, or stochastic, sequences of unitary pulses that affect the…

Quantum Physics · Physics 2010-09-09 Rajdeep Saha , Victor S. Batista

We investigate quantum tunneling in smooth symmetric and asymmetric double-well potentials. Exact solutions for the ground and first excited states are used to study the dynamics. We introduce Wigner's quasi-probability distribution…

Quantum Physics · Physics 2011-08-11 Dimitris Kakofengitis , Ole Steuernagel

We calculate the time taken by a wave packet to travel through a classically forbidden locally periodic rectangular potential in space fractional quantum mechanics (SFQM). We obtain the close form expression of tunneling time from such a…

Quantum Physics · Physics 2021-07-20 Mohammad Hasan , Bhabani Prasad Mandal

In quantum tunnelling, what appears an infinitely fast barrier traversal can be explained in terms of an Aharonov-like weak measurement of the tunnelling time, in which the role of the pointer is played by the particle's own coordinate. A…

Quantum Physics · Physics 2007-05-23 D. Sokolovski

Tunneling delay times of wavepackets in quantum mechanical penetration of rectangular barriers have long been known to show a perplexing independence with respect to the width of the barrier. This also has relevence to the transmission of…

Quantum Physics · Physics 2015-06-26 Arya Paul , Arnab Saha , Swarnali Bandopadhyay , Binayak Dutta-Roy

We study the nature of tunneling phase time for various quantum mechanical structures such as networks and rings having potential barriers in their arms. We find the generic presence of Hartman effect, with superluminal velocities as a…

Quantum Physics · Physics 2007-05-23 Swarnali Bandopadhyay , A. M. Jayannavar

We analyze the detection of itinerant photons using a quantum non-demolition (QND) measurement. We show that the backaction due to the continuous measurement imposes a limit on the detector efficiency in such a scheme. We illustrate this…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ferdinand Helmer , Matteo Mariantoni , Enrique Solano , Florian Marquardt

We introduce and explore a one-dimensional "hybrid" quantum circuit model consisting of both unitary gates and projective measurements. While the unitary gates are drawn from a random distribution and act uniformly in the circuit, the…

Quantum Physics · Physics 2018-11-21 Yaodong Li , Xiao Chen , Matthew P. A. Fisher

The evolution of the quantum wave packet describing an atom trapped in the surface-tip junction of the scanning tunneling microscope is investigated by using the time-dependent Schroedinger equation, and by a quasi-classical Hamiltonian…

Quantum Physics · Physics 2008-02-21 M. Grigorescu

This is a brief review of few relevant topics on tunneling of composite particles and how the coupling to intrinsic and external degrees of freedom affects tunneling probabilities. I discuss the phenomena of resonant tunneling, different…

Nuclear Theory · Physics 2015-06-11 C. A. Bertulani

We experimentally study quantum Zeno effects in a parity-time (PT) symmetric cold atom gas periodically coupled to a reservoir. Based on the state-of-the-art control of inter-site couplings of atoms in a momentum lattice, we implement a…

Quantum Gases · Physics 2021-05-26 Tao Chen , Wei Gou , Dizhou Xie , Teng Xiao , Wei Yi , Jun Jing , Bo Yan

We propose an exercise in which one attempts to deduce the formalism of quantum mechanics solely from phenomenological observations. The only assumed inputs are obtained through sequential probing of quantum systems; no presuppositions…

Quantum mechanical tunneling of atoms is increasingly found to play an important role in many chemical transformations. Experimentally, atom-tunneling can be indirectly detected by temperature-independent rate constants at low temperature…

Chemical Physics · Physics 2020-09-10 Jan Meisner , Johannes Kästner

A new quantum approach is presented that can account for the description of small ferromagnetic particles magnetization tunneling. An estimate of the saturation value of an external applied magnetic field along the easy axis is obtained. An…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Galetti , B. M. Pimentel , C. L. Lima , E. C. Silva

The general and explicit relation between the phase time and the dwell time for quantum tunneling or scattering is investigated. Considering a symmetrical collision of two identical wave packets with an one-dimensional barrier, here we…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

The transmission of wave packets through tunneling barriers is studied in detail by the method of quantum molecular dynamics. The distribution function of the times describing the arrival of a tunneling packet in front of and behind a…

Quantum Physics · Physics 2009-10-31 Yu. Lozovik , A. Filinov

Tunneling, transport of particles through classically forbidden regions, is a pure quantum phenomenon. It governs numerous phenomena ranging from single-molecule electronics to donor-acceptor transition reactions. The main problem is the…

Quantum Physics · Physics 2017-10-13 Durmus Demir , Tugrul Guner