Weak measurement of arrival time

Ruseckas, Julius; Kaulakys, B.

doi:10.1103/physreva.66.052106

Cited by 36 publications

(54 citation statements)

References 35 publications

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“…The usefulness of this description has been demonstrated, both theoretically and experimentally, in a number of applications in which novel aspects of quantum processes have been uncovered when analyzed in terms of * Electronic address: abotero@uniandes.edu.co weak values. These include photon polarization interference [7,8,9,10,11], barrier tunnelling times [12,13,14], photon arrival times [15,16], anomalous pulse propagation [17,18,19], correlations in cavity QED experiments [20], complementarity in "which-way" experiments [21,22], non-classical aspects of light [23,24], communication protocols [25] and retrodiction "paradoxes" of quantum entanglement [26,27,28].…”

Section: Introductionmentioning

confidence: 99%

Quantum averages of weak values

2005

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We re-examine the status of the weak value of a quantum mechanical observable as an objective physical concept, addressing its physical interpretation and general domain of applicability. We show that the weak value can be regarded as a definite mechanical effect on a measuring probe specifically designed to minimize the back-reaction on the measured system. We then present a new framework for general measurement conditions (where the back-reaction on the system may not be negligible) in which the measurement outcomes can still be interpreted as quantum averages of weak values. We show that in the classical limit, there is a direct correspondence between quantum averages of weak values and posterior expectation values of classical dynamical properties according to the classical inference framework.

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Section: Introductionmentioning

confidence: 99%

Quantum averages of weak values

2005

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“…For the QZE and QAZE of the decay of an unstable state in a quantum open system with dissipation, there are also similar discussions in which the dynamical process of the measurements is included [32][33][34][35][36][37][38]. In Refs.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of quantum zeno and anti-zeno effects in an open system

Zhang

et al. 2014

Sci. China Phys. Mech. Astron.

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We provide a general dynamical approach for the quantum Zeno and anti-Zeno effects in an open quantum system under repeated non-demolition measurements. In our approach the repeated measurements are described by a general dynamical model without the wave function collapse postulation. Based on that model, we further study both the short-time and long-time evolutions of the open quantum system under repeated non-demolition measurements, and derive the measurementmodified decay rates of the excited state. In the cases with frequent ideal measurements at zerotemperature, we re-obtain the same decay rate as that from the wave function collapse postulation (Nature 405, 546 (2000)). The correction to the ideal decay rate is also obtained under the nonideal measurements. Especially, we find that the quantum Zeno and anti-Zeno effects are possibly enhanced by the non-ideal natures of measurements. For the open system under measurements with arbitrary period, we generally derive the rate equation for the long-time evolution for the cases with arbitrary temperature and noise spectrum, and show that in the long-time evolution the noise spectrum is effectively tuned by the repeated measurements. Our approach is also able to describe the quantum Zeno and anti-Zeno effects given by the phase modulation pulses, as well as the relevant quantum control schemes.

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“…We take the operator describing the interaction between the particle and the detector of the form [22,23,[25][26][27][28]]…”

Section: The Concept Of Weak Measurementsmentioning

confidence: 99%

“…Second, since in the classical mechanics all quantities can have definite values simultaneously, weak measurements give the correct classical limit. The concept of weak measurements has been al-ready applied to the time problem in quantum mechanics [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Time problem in quantum mechanics and its analysis by the concept of weak measurements

Ruseckas¹,

Kaulakys²

2004

Lith. J. Phys.

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The model of weak measurements is applied to various problems, related to the time problem in quantum mechanics. The review and generalization of the theoretical analysis of the time problem in quantum mechanics based on the concept of weak measurements are presented. A question of the time interval the system spends in the specified state, when the final state of the system is given, is raised. Using the concept of weak measurements the expression for such time is obtained. The results are applied to the tunnelling problem. A procedure for the calculation of the asymptotic tunnelling and reflection times is proposed. Examples for δ-form and rectangular barrier illustrate the obtained results. Using the concept of weak measurements the arrival time probability distribution is defined by analogy with the classical mechanics. The proposed procedure is suitable to the free particles and to particles subjected to an external potential, as well. It is shown that such an approach imposes an inherent limitation to the accuracy of the arrival time definition.

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Weak measurement of arrival time

Cited by 36 publications

References 35 publications

Quantum averages of weak values

Quantum averages of weak values

Dynamics of quantum zeno and anti-zeno effects in an open system

Time problem in quantum mechanics and its analysis by the concept of weak measurements

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