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The failure of conventional quantum theory to recognize time as an observable and to admit time operators is addressed. Instead of focusing on the existence of a time operator for a given Hamiltonian, we emphasize the role of the…

量子物理 · 物理学 2013-05-24 Curt A. Moyer

We develop a general framework for the construction of probabilities for the time of arrival in quantum systems. The time of arrival is identified with the time instant when a transition in the detector's degrees of freedom takes place.…

量子物理 · 物理学 2013-05-30 Charis Anastopoulos , Ntina Savvidou

I propose a general geometric framework in which to discuss the existence of time observables. This frameworks allows one to describe a local sense in which time observables always exist, and a global sense in which they can sometimes exist…

数学物理 · 物理学 2014-04-22 Bryan W. Roberts

We report on our recent efforts to perform realistic simulations of large quantum devices in the time domain. In contrast to d.c. transport where the calculations are explicitly performed at the Fermi level, the presence of time-dependent…

介观与纳米尺度物理 · 物理学 2017-10-26 Joseph Weston , Xavier Waintal

In quantum mechanics the time dimension is treated as a parameter, while the three space dimensions are treated as observables. This assumption is both untested and inconsistent with relativity. From dimensional analysis, we expect quantum…

量子物理 · 物理学 2019-05-27 John Ashmead

Ever since Schrodinger, Time in quantum theory is postulated Newtonian for every reference frame. With the help of certain known mathematical results, we show that the concept of the so-called Local Time allows avoiding the postulate. In…

量子物理 · 物理学 2016-10-26 H. Kitada , J. Jeknic-Dugic , M. Arsenijevic , M. Dugic

An interpretation and re-formulation of modern physics which removes the presumption of the space-time continuum, and bases physical theory on a small number of rational and empirical principles. After briefly describing the philosophical…

综合物理 · 物理学 2014-05-13 Charles Francis

The problem of time operator in quantum mechanics is revisited. The unsharp measurement model for quantum time based on the dynamical system-clock interaction, is studied. Our analysis shows that the problem of the quantum time operator…

量子物理 · 物理学 2007-05-23 V. P. Belavkin , M. G. Perkins

The quantum teleportation protocol can be used to probabilistically simulate a quantum circuit with backward-in-time connections. This allows us to analyze some conceptual problems of time travel in the context of physically realizable…

量子物理 · 物理学 2012-03-06 George Svetlichny

We show how quantum mechanics can be understood as a space-time theory provided that its spatial continuum is modelled by a variable real number (qrumber) continuum. Such a continuum can be constructed using only standard Hilbert space…

量子物理 · 物理学 2007-05-23 J. Corbett , T. Durt

We introduce a quantum sensing protocol for detecting the parameters characterizing the phase space displacement by using a single trapped ion as a quantum probe. We show that thanks to the laser-induced coupling between the ion's internal…

量子物理 · 物理学 2018-03-13 Peter A. Ivanov , Nikolay V. Vitanov

The probability distributions of discrete-time quantum walks have been often investigated, and many interesting properties of them have been discovered. The probability that the walker can be find at a position is defined by diagonal…

量子物理 · 物理学 2013-04-01 Takuya Machida

In this Chapter, we present some interesting properties of quantum walks on the line. We concentrate our attention in the emergence of invariance and provide some insights into the ultimate origin of the observed behavior. In the first part…

量子物理 · 物理学 2016-09-02 Miquel Montero

A simple model of a quantum clock is applied to the old and controversial problem of how long a particle takes to tunnel through a quantum barrier. The model I employ has the advantage of yielding sensible results for energy eigenstates,…

量子物理 · 物理学 2009-11-10 P. C. W. Davies

Quantum measurement and quantum operation theory is developed here by taking the relational properties among quantum systems, instead of the independent properties of a quantum system, as the most fundamental elements. By studying how the…

量子物理 · 物理学 2021-04-20 Jianhao M. Yang

The information carrier of today's communications, a weak pulse of light, is an intrinsically quantum object. As a consequence, complete information about the pulse cannot, even in principle, be perfectly recorded in a classical memory. In…

量子物理 · 物理学 2007-05-23 Brian Julsgaard , Jacob Sherson , J. Ignacio Cirac , Jaromir Fiurasek , Eugene S. Polzik

Atoms and the planets acquire their stability from the quantum mechanical incompatibility of the position and momentum measurements. This incompatibility is expressed by the fundamental commutator [x, p_x]=i hbar, or equivalently, via the…

天体物理学 · 物理学 2008-11-26 D. V. Ahluwalia

A discrete time quantum walker is considered in one dimension, where at each step, the translation can be more than one unit length chosen randomly. In the simplest case, the probability that the distance travelled is $\ell$ is taken as…

量子物理 · 物理学 2018-10-17 Parongama Sen

The new solution to the problem of time of arrival in quantum theory is presented herein. It allows for computer simulation of particle counters and it implies Born's interpretation. It also suggests new experiments that can answer the…

量子物理 · 物理学 2007-05-23 Ph. Blanchard , A. Jadczyk

We introduce a formalism for the calculation of the time of arrival t at a detector of particles traveling through interacting environments. We develop a general formulation that employs quantum canonical transformations from the free to…

量子物理 · 物理学 2007-05-23 J. Leon , J. Julve , P. Pitanga , F. J. de Urries