Statistical approach to tunneling time in attosecond experiments

Demir, Durmuş A.; Güner, Tuğrul

doi:10.1016/j.aop.2017.09.009

Cited by 13 publications

(20 citation statements)

References 97 publications

(203 reference statements)

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“…In this respect, in our model, we quantify tunneling through the energy gap (potential barrier) and T-time using TEUR, which is equivalent to quantifying it through the transmission amplitude of the wave function. This follows in particular from the good agreement of our T-time with FPI [4,35] and SATT [74] for He-atoms. We see now why Ni et al [69] have found a high non-tunneled fraction as mentioned above (using a position criterion).…”

Section: Attoclock and Tunneling Time In Strong Field Interactionsupporting

confidence: 76%

“…Landsman et al have shown [4] a good agreement between the experimental result and the FPI. Demir et al [74] came to the same result of the T-time using a statistical approach to the T-time (SATT) based on FPI. Camus et al [75] claim that the agreement between theory and experiment in their work with Ar-, Kr-atom provides clear evidence for a nonzero T-time delay, however without clear details about their tunneling picture, i.e., adiabatic or nonadiabatic, which is certainly a crucial point.…”

Section: Attoclock and Tunneling Time In Strong Field Interactionmentioning

confidence: 93%

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Time Operator, Real Tunneling Time in Strong Field Interaction and the Attoclock

Kullie

2020

Quantum Reports

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Attosecond science, beyond its importance from application point of view, is of a fundamental interest in physics. The measurement of tunneling time in attosecond experiments offers a fruitful opportunity to understand the role of time in quantum mechanics. In the present work, we show that our real T-time relation derived in earlier works can be derived from an observable or a time operator, which obeys an ordinary commutation relation. Moreover, we show that our real T-time can also be constructed, inter alia, from the well-known Aharonov-Bohm time operator. This shows that the specific form of the time operator is not decisive, and dynamical time operators relate identically to the intrinsic time of the system. It contrasts the famous Pauli theorem, and confirms the fact that time is an observable, i.e., the existence of time operator and that the time is not a parameter in quantum mechanics. Furthermore, we discuss the relations with different types of tunneling times, such as Eisenbud-Wigner time, dwell time, and the statistically or probabilistic defined tunneling time. We conclude with the hotly debated interpretation of the attoclock measurement and the advantage of the real T-time picture versus the imaginary one.

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Section: Attoclock and Tunneling Time In Strong Field Interactionsupporting

confidence: 76%

Section: Attoclock and Tunneling Time In Strong Field Interactionmentioning

confidence: 93%

Time Operator, Real Tunneling Time in Strong Field Interaction and the Attoclock

Kullie

2020

Quantum Reports

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“…The advent of attophysics opens new perspectives in the study of time resolved phenomena in atomic and molecular physics [1][2][3][4], the tunneling process and the tunneling time (T-time) in atoms and molecules [5][6][7][8][9]. Attosecond science (asec=10 −18 s) concerns primarily electronic motion and energy transport on atomic scales and is of fundamental interest to the physics in general.…”

Section: Introductionmentioning

confidence: 99%

Tunneling time in attosecond experiment for hydrogen atom

Kullie

2018

J. Phys. Commun.

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Tunneling and tunneling time are hot debated and very interesting issues because of their fundamental role in the quantum mechanics. The measurement of the tunneling time in today's attosecond and strong field (low-frequency) experiments, despite its controversial discussion offers a fruitful opportunity to understand the time measurement and the role of time in quantum mechanics. In previous work Kullie (2015 Phys. Rev. A 92, 052118), we suggested a model and derived a simple relation to calculate the tunneling time, which showed a good agreement with the experimental result for He-atom. In the present work we analyze and discuss our model considering the experimental result for H-atom, which is obtained recently by Satya Sainadh et al (2017 arXiv:1707.05445). In the tunneling region, we find that our model shows a good agreement with their experimental result (similar to the He-atom in our previous work), and with the accompanied time-dependent Schrödiger equation simulations. However, Sainadh et al use a different picture of the tunneling, in which tunneling time becomes an imaginary quantity. Whereas our model represents a real tunneling time picture, precisely a delay time with respect to the ionization time at the atomic field strength. Moreover, even though the above-threshold-ionization is beyond the tunneling regime, we still see that the actual ionization time is related to our model. However, crucial points arise and keep some questions open especially on the experimental side.

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“…More importantly, they (excepting FPI time with experiment-driven coarse-grained paths) fail to explain the experimental data, as was comparatively analysed and experimented in [15]. Nevertheless, two recent time definitions, the entropic tunneling time [52] and uncertainty-based tunneling time [54], are subliminal and agree well with He ionization data.…”

Section: Introductionmentioning

confidence: 86%

“…such that ψ is the wavefunction propagating in the direction, that is, ∇ψ ∝ p ψ (the momentum p along can be local or global, as was detailed in [52]). The equation (4), resulting from quantum generalization of d x/dt, is recognized to resemble the guiding equation in Bohmian mechanics [58].…”

Section: Quantum Travel Timementioning

confidence: 99%

Quantum Travel Time and Tunnel Ionization Times of Atoms

Demir,

Pacal

2020

Preprint

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Time it takes to travel from one position to another, devoid of any quantum mechanical description, has been modeled variously, especially for quantum tunneling. The model time, if universally valid, must be subluminal, must hold everywhere (inside and outside the tunneling region), must comprise interference effects, and must have a sensible classical limit. Here we show that the quantum travel time, hypothesized to emerge with the state vector, is a function of the probability density and probability current such that all the criteria above are fulfilled. We compute it inside and outside a rectangular potential barrier and find physically sensible results. Moreover, we contrast it with recent ionization time measurements of the He as well as the Ar and Kr atoms, and find good agreement with data. The quantum travel time holds good for stationary systems, and can have applications in numerous tunneling-driven phenomena.

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Statistical approach to tunneling time in attosecond experiments

Cited by 13 publications

References 97 publications

Time Operator, Real Tunneling Time in Strong Field Interaction and the Attoclock

Time Operator, Real Tunneling Time in Strong Field Interaction and the Attoclock

Tunneling time in attosecond experiment for hydrogen atom

Quantum Travel Time and Tunnel Ionization Times of Atoms

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