An alternate model for protective measurements of two-level systems
| dc.creator | Das, Anirban | |
| dc.creator | Dass, N. D. Hari | |
| dc.date | 2004-10-13 | |
| dc.date.accessioned | 2026-07-07T06:11:06Z | |
| dc.date.available | 2026-07-07T06:11:06Z | |
| dc.description | In this article we propose an alternate model for the so called {\it protective measurements}, more appropriately {\it adiabatic measurements} of a spin 1/2 system where the {\it apparatus} is also a quantum system with a {\em finite dimensional Hilbert space}. This circumvents several technical as well as conceptual issues that arise when dealing with an infinite dimensional Hilbert space as in the analysis of conventional Stern-Gerlach experiment. Here also it is demonstrated that the response of the detector is continuous and it {\it directly} measures {\em expectation values without altering the state of the system}(when the unknown original state is a {\it nondegenerate eigenstate of the system Hamiltonian}, in the limit of {\em ideal} adiabatic conditions. We have also computed the corrections arising out of the inevitable departures from ideal adiabaticity i.e the time of measurement being large but finite. To overcome the {\em conceptual} difficulties with a {\it quantum apparatus}, we have simulated a {\it classical apparatus} as a {\em large} assembly of spin-1/2 systems. We end this article with a conclusion and a discussion of some future issues. | |
| dc.description | 6 pages in REVTEX | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0410098 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0410098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92436 | |
| dc.subject | Quantum Physics | |
| dc.title | An alternate model for protective measurements of two-level systems | |
| dc.type | text |