2013
DOI: 10.1103/physreva.88.052128
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Operational approach to indirectly measuring the tunneling time

Abstract: The tunneling time through an arbitrary bounded one-dimensional barrier is investigated using the dwell time operator. We relate the tunneling time to the conditioned average of the dwell time operator because of the natural post-selection in the case of successful tunneling. We discuss an indirect measurement by timing the particle, and show we are able to reconstruct the conditioned average value of the dwell time operator by applying the contextual values formalism for generalized measurements based on the … Show more

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Cited by 17 publications
(12 citation statements)
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“…The rest of the Bloch sphere is still occupied with a lower probability ( Fig. 5b) because of the finite time it takes for the jump to occur from one pole to the next under strong dispersive measurement rate [25]. Note how the ensemble of trajectories can go from uniform for weak measurement rates ( Fig.…”
Section: Resultsmentioning
confidence: 99%
“…The rest of the Bloch sphere is still occupied with a lower probability ( Fig. 5b) because of the finite time it takes for the jump to occur from one pole to the next under strong dispersive measurement rate [25]. Note how the ensemble of trajectories can go from uniform for weak measurement rates ( Fig.…”
Section: Resultsmentioning
confidence: 99%
“…For the fully open QPC, we can generalize the Wigner surmise by combining Eqs. (37,38) and (43). We then find…”
Section: A Quantum Point Contactmentioning
confidence: 98%
“…Accounts of this debate can be found in a large number of reviews (see de Carvalho and Nussenzveig, 2002;Hauge and Støvneng, 1989;Landauer and Martin, 1994;Olkhovsky et al, 2004;Winful, 2006;Muga et al, 2007;Choi and Jordan, 2013). As a well-defined operator whose eigenvalue would correspond to the travel time through the classically forbidden region could not be identified, unconventional operational descriptions have been put forward, such as complex travel time based on a Feynman path integral formulation (Sokolovski et al, 1994) or contextual values replacing conventional eigenvalues of a self-adjoined operators for so-called weak measurements (Choi and Jordan, 2013). Closely related is the notion of a Larmor clock (Baz', 1967a,b;Büttiker, 1983) which yields, in general, two different precession times which can be interpreted in special cases as the real and imaginary parts of a complex time (Sokolovski et al, 1994).…”
Section: Attosecond Streaking Of Tunneling Time?mentioning
confidence: 99%