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The Role of Heat Bath and Pointer Modes in Quantum Measurement | Dima Mozyrsky
; Vladimir Privman
; | Date: |
27 Mar 1999 | Journal: | Modern Physics Letters B 14 (2000) 303-312 (an improved version, also posted as cond-mat/0003019) DOI: 10.1142/S0217984900000409 | Subject: | Statistical Mechanics; Mesoscopic Systems and Quantum Hall Effect; Soft Condensed Matter; Atomic Physics; Mathematical Physics | cond-mat.stat-mech cond-mat.mes-hall cond-mat.soft math-ph math.MP physics.atom-ph quant-ph | Abstract: | We present an exact derivation of a process in which a microscopic measured system interacts with "heat bath" and pointer modes of a measuring device, via a linear coupling involving Hermitian operator $Lambda$ of the system. In the limit of strong interaction with these modes, over a small time interval, we show that the measured system and the "pointer" part of the measuring device evolve into a statistical mixture of direct-product states such that the system is in each eigenstate of $Lambda$ with the correct quantum-mechanical probability, whereas the expectation values of pointer-space operators retain amplified information of the system’s eigenstate. | Source: | arXiv, cond-mat/9903403 | Services: | Forum | Review | PDF | Favorites |
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