dorsal/arxiv
View SchemaPhase time for a tunneling particle
| Authors | Swarnali Bandopadhyay, A. M. Jayannavar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511089 |
| URL | https://arxiv.org/abs/quant-ph/0511089 |
Abstract
We study the nature of tunneling phase time for various quantum mechanical structures such as networks and rings having potential barriers in their arms. We find the generic presence of Hartman effect, with superluminal velocities as a consequence, in these systems. In quantum networks it is possible to control the `super arrival' time in one of the arms by changing the parameters on another arm which is spatially separated from it. This is yet another quantum nonlocal effect. Negative time delays (time advancement) and `ultra Hartman effect' with negative saturation times have been observed in some parameter regimes. In presence and absence of Aharonov-Bohm (AB) flux quantum rings show Hartman effect. We obtain the analytical expression for the saturated phase time. In the opaque barrier regime this is independent of even the AB flux thereby generalizing the Hartman effect. We also briefly discuss the concept of "space collapse or space destroyer" by introducing a free space in between two barriers covering the ring. Further we show in presence of absorption the reflection phase time exhibits Hartman effect in contrast to the transmission phase time.
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"date_created": "2026-03-02T18:02:20.652000Z",
"date_modified": "2026-03-02T18:02:20.652000Z",
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"abstract": "We study the nature of tunneling phase time for various quantum mechanical\nstructures such as networks and rings having potential barriers in their arms.\nWe find the generic presence of Hartman effect, with superluminal velocities as\na consequence, in these systems. In quantum networks it is possible to control\nthe `super arrival\u0027 time in one of the arms by changing the parameters on\nanother arm which is spatially separated from it. This is yet another quantum\nnonlocal effect. Negative time delays (time advancement) and `ultra Hartman\neffect\u0027 with negative saturation times have been observed in some parameter\nregimes. In presence and absence of Aharonov-Bohm (AB) flux quantum rings show\nHartman effect. We obtain the analytical expression for the saturated phase\ntime. In the opaque barrier regime this is independent of even the AB flux\nthereby generalizing the Hartman effect. We also briefly discuss the concept of\n\"space collapse or space destroyer\" by introducing a free space in between two\nbarriers covering the ring. Further we show in presence of absorption the\nreflection phase time exhibits Hartman effect in contrast to the transmission\nphase time.",
"arxiv_id": "quant-ph/0511089",
"authors": [
"Swarnali Bandopadhyay",
"A. M. Jayannavar"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"title": "Phase time for a tunneling particle",
"url": "https://arxiv.org/abs/quant-ph/0511089"
},
"schema_id": "dorsal/arxiv",
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"variant": "snapshot-2026-03-01",
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