What Does One Measure When One Measures the Arrival Time of a Quantum Particle?

Vona, Nicola; Hinrichs, Günter; Dürr, Detlef

doi:10.1103/physrevlett.111.220404

Cited by 32 publications

(41 citation statements)

References 26 publications

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“…For the generic problem of the tunneling time delay, different definitions have been proposed and the discussion of their relevance still continues [8][9][10][11][12][13][14][15][16]. The Keldysh time introduced in the strong field ionization theory [17] describes the formation time of the ionization process [18] (see also Fig.…”

Section: Introductionmentioning

confidence: 99%

Wigner time delay for tunneling ionization via the electron propagator

2014

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Recent attoclock experiments using the attsecond angular streaking technique enabled the measurement of the tunneling time delay during laser induced strong field ionization. Theoretically the tunneling time delay is commonly modelled by the Wigner time delay concept which is derived from the derivative of the electron wave function phase with respect to energy. Here, we present an alternative method for the calculation of the Wigner time delay by using the fixed energy propagator. The developed formalism is applied to the nonrelativistic as well as to the relativistic regime of the tunnel-ionization process from a zero-range potential, where in the latter regime the propagator can be given by means of the proper-time method.

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Section: Introductionmentioning

confidence: 99%

Wigner time delay for tunneling ionization via the electron propagator

2014

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“…The measurement of the arrival time of a quantum mechanical particle in a given detection region is a longstanding and fundamental problem in quantum mechanics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In spite of much effort, the construction of a time operator has been found to be controversial [18].…”

Section: Introductionmentioning

confidence: 99%

Detection of a quantum particle on a lattice under repeated projective measurements

et al. 2015

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We consider a quantum particle, moving on a lattice with a tight-binding Hamiltonian, which is subjected to measurements to detect it's arrival at a particular chosen set of sites. The projective measurements are made at regular time intervals τ , and we consider the evolution of the wave function till the time a detection occurs. We study the probabilities of its first detection at some time and conversely the probability of it not being detected (i.e., surviving) up to that time. We propose a general perturbative approach for understanding the dynamics which maps the evolution operator, consisting of unitary transformations followed by projections, to one described by a nonHermitian Hamiltonian. For some examples, of a particle moving on one and two-dimensional lattices with one or more detection sites, we use this approach to find exact expressions for the survival probability and find excellent agreement with direct numerical results. A mean field model with hopping between all pairs of sites and detection at one site is solved exactly. For the one-and two-dimensional systems, the survival probability is shown to have a power-law decay with time, where the power depends on the initial position of the particle. Finally, we show an interesting and non-trivial connection between the dynamics of the particle in our model and the evolution of a particle under a non-Hermitian Hamiltonian with a large absorbing potential at some sites.

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“…(37) into Eqs. (29), leads for times τ > τ 1 qualitatively to the same behavior as an external time delay line as given in Eqs. (32) with the replacement β ′ → β.…”

Section: B Scheme 2: Interferometer-like Setupmentioning

confidence: 62%

“…Moreover, the time delay ∆τ was not yet been accounted for in Eqs. (27) and (29). It is later on incorporated into the nuclear response E (1) π coming from target 2.…”

Section: B Scheme 2: Interferometer-like Setupmentioning

confidence: 99%

X-ray quantum-eraser setup for time-energy complementarity

Gunst

Pálffy

2016

Phys. Rev. A

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A quantum-eraser setup exploiting the time-energy complementarity relation in the x-ray regime is investigated theoretically. The starting point is the interference process between x-ray quanta driving two nuclear hyperfine transitions in a nuclear forward-scattering setup. We show that which-way information can be obtained by marking the scattering paths with orthogonal polarization states, thus leading to the disappearance of the interference pattern. In turn, erasure of the which-way information leads to the reappearance of the interference fringes. We put forward two schemes using resonant scattering off nuclear targets and design which-way marking procedures to realize the quantum-eraser setup for x-ray quanta

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What Does One Measure When One Measures the Arrival Time of a Quantum Particle?

Cited by 32 publications

References 26 publications

Wigner time delay for tunneling ionization via the electron propagator

Wigner time delay for tunneling ionization via the electron propagator

Detection of a quantum particle on a lattice under repeated projective measurements

X-ray quantum-eraser setup for time-energy complementarity

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