When a quantum system is monitored in continuous time, the result of the measurement is a stochastic process. When the output process is stationary, at least in the long run, the spectrum of the process can be introduced and its properties studied. A typical continuous measurement for quantum optical systems is the so called homodyne detection. In this paper we show how the Heisenberg uncertainty relations give rise to characteristic bounds on the possible homodyne spectra and we discuss how this is related to the typical quantum phenomenon of squeezing.

Quantum continuous measurements: the spectrum of the output

BARCHIELLI, ALBERTO;GREGORATTI, MATTEO PROBO SIRO FRANCESCO
2008-01-01

Abstract

When a quantum system is monitored in continuous time, the result of the measurement is a stochastic process. When the output process is stationary, at least in the long run, the spectrum of the process can be introduced and its properties studied. A typical continuous measurement for quantum optical systems is the so called homodyne detection. In this paper we show how the Heisenberg uncertainty relations give rise to characteristic bounds on the possible homodyne spectra and we discuss how this is related to the typical quantum phenomenon of squeezing.
2008
Quantum Probability and Related Topics
9789812835260
Quantum continuous measurements; Homodyne detection and spectra
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/500958
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