Two-Level System with a Noisy Hamiltonian

Hiromichi Nakazato; Saverio Pascazio

doi:10.1023/A:1007709831927

Two-Level System with a Noisy Hamiltonian

Hiromichi Nakazato^*, Saverio Pascazio

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Conference article › peer-review

10 Citations (Scopus)

Abstract

We study the dynamical properties of a two-level system in interaction with its environment, whose action on the system is modeled by means of a noise term in the Hamiltonian. We solve the Schrödinger equation, obtain an evolution equation of the Lindblad type for the noise average of the density matrix, and discuss the results in terms of a "decoherence parameter." Finally, we concentrate our attention on the possibility of hindering the transitions between the two levels in two (apparently unrelated) ways: (a) by increasing the strength of the noise; (b) by a series of frequent measurements. There is an interesting relation between these two situations.

Original language	English
Pages (from-to)	843-849
Number of pages	7
Journal	Journal of Superconductivity
Volume	12
Issue number	6
DOIs	https://doi.org/10.1023/A:1007709831927
Publication status	Published - 1999
Event	Proceedings of the 1998 International Workshop on 'Macroscopic Quantum Tunneling and Coherence' - Naples, Italy Duration: 1998 Jun 10 → 1998 Jun 13

Keywords

Decoherence
Stochastic
Two-level system

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Physics and Astronomy (miscellaneous)

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10.1023/A:1007709831927

Cite this

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title = "Two-Level System with a Noisy Hamiltonian",

abstract = "We study the dynamical properties of a two-level system in interaction with its environment, whose action on the system is modeled by means of a noise term in the Hamiltonian. We solve the Schr{\"o}dinger equation, obtain an evolution equation of the Lindblad type for the noise average of the density matrix, and discuss the results in terms of a {"}decoherence parameter.{"} Finally, we concentrate our attention on the possibility of hindering the transitions between the two levels in two (apparently unrelated) ways: (a) by increasing the strength of the noise; (b) by a series of frequent measurements. There is an interesting relation between these two situations.",

keywords = "Decoherence, Stochastic, Two-level system",

author = "Hiromichi Nakazato and Saverio Pascazio",

note = "Copyright: Copyright 2018 Elsevier B.V., All rights reserved.; Proceedings of the 1998 International Workshop on 'Macroscopic Quantum Tunneling and Coherence' ; Conference date: 10-06-1998 Through 13-06-1998",

year = "1999",

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language = "English",

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journal = "Journal of Superconductivity",

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TY - JOUR

T1 - Two-Level System with a Noisy Hamiltonian

AU - Nakazato, Hiromichi

AU - Pascazio, Saverio

PY - 1999

Y1 - 1999

N2 - We study the dynamical properties of a two-level system in interaction with its environment, whose action on the system is modeled by means of a noise term in the Hamiltonian. We solve the Schrödinger equation, obtain an evolution equation of the Lindblad type for the noise average of the density matrix, and discuss the results in terms of a "decoherence parameter." Finally, we concentrate our attention on the possibility of hindering the transitions between the two levels in two (apparently unrelated) ways: (a) by increasing the strength of the noise; (b) by a series of frequent measurements. There is an interesting relation between these two situations.

AB - We study the dynamical properties of a two-level system in interaction with its environment, whose action on the system is modeled by means of a noise term in the Hamiltonian. We solve the Schrödinger equation, obtain an evolution equation of the Lindblad type for the noise average of the density matrix, and discuss the results in terms of a "decoherence parameter." Finally, we concentrate our attention on the possibility of hindering the transitions between the two levels in two (apparently unrelated) ways: (a) by increasing the strength of the noise; (b) by a series of frequent measurements. There is an interesting relation between these two situations.

KW - Decoherence

KW - Stochastic

KW - Two-level system

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DO - 10.1023/A:1007709831927

M3 - Conference article

AN - SCOPUS:0042722423

SN - 0896-1107

VL - 12

SP - 843

EP - 849

JO - Journal of Superconductivity

JF - Journal of Superconductivity

IS - 6

T2 - Proceedings of the 1998 International Workshop on 'Macroscopic Quantum Tunneling and Coherence'

Y2 - 10 June 1998 through 13 June 1998

ER -

Two-Level System with a Noisy Hamiltonian

Abstract

Keywords

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