Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0512079

Dynamical Consequences of Strong Entanglement

Erich Joos

Published Dec 10, 2005• 0 citations
arXivHTMLPDF

Abstract

This review analyzes and compares two consequences of strong decoherence: The quantum Zeno effect and macroscopic motion described by master equations.
DOI
10.48550/arxiv.quant-ph/0512079

Related papers

Off-resonant quantum Zeno and anti-Zeno effects on entanglement

Francesco Francica, Sabrina Maniscalco, Francesco Plastina

•Jan 1, 2010•0 citations

Dynamical Consequences of Strong Entanglement

Erich Joos

The concept of motion in quantum theory is reviewed from a didactical point of view. A unitary evolution according to a Schrödinger equation has very different properties compared to motion in classical physics. If the phase relations defining unitary dynamics are destroyed or unavailable, motion becomes impossible (Zeno effect). The most important mechanism is dislocalization of phase relations (decoherence), arising from coupling of a quantum system to its environment. Macroscopic systems are not frozen, although strong decoherence is important to derive quasi-classical motion within the quantum framework. These two apparently conflicting consequences of strong decoherence are analyzed and compared.

Birkhäuser Basel eBooks•Jan 1, 2006•2 citations

Quantum Entanglement and Non-Local Decoherence

Francesco Forte

Why quantum entanglement and decoherence appear to violate the speed of light.

•Jul 12, 2026•0 citations

Continuous measurement: Watchdog effect versus golden rule

Erich Joos

Conditions which may lead to a freezing of the motion of a system under continuous observation (the so-called "Zeno paradox" or "watchdog effect") are examined. The measurement process is treated phenomenologically by the usual wave-packet reduction as well as in a more realistic way by including the measuring apparatus. For this purpose a model for an ideal measurement process is employed, following an example given by von Neumann. The resulting behavior varies between complete freezing and a mere suppression of interference terms and constant transition rates as represented by a master equation (rate equation). The most familiar example of the latter is Fermi's golden rule, with integration leading to exponential decay. Reviewing and extending the derivation of the Pauli master equation, the conditions leading to constant transition rates are discussed. The importance of the interaction with the natural environment for establishing a master equation is emphasized. Some consequences for the derivation of macroscopic equations of motion and for the physical foundations of superselection rules are pointed out.

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Apr 15, 1984•110 citations

Decoherence and disentanglement scenarios in non-Markovian quantum Brownian motion

Christian Hörhammer, H. Büttner

We study the non-Markovian decoherence and disentanglement dynamics of dissipative quantum systems with special emphasis on non-Gaussian continuous variable systems. The dynamics are described by the Hu–Paz–Zhang master equation of quantum Brownian motion. The time evolution of the decoherence function of a single-mode superposition is compared to the concurrence of a two-mode entangled state. It is verified that moderate non-Markovian influences slow down the decay of interference fringes and quantum correlations, while strong non-Markovian effects resulting from an out-of-resonance bath can even accelerate the loss of coherence, compared to predictions of Markovian approximations. Qualitatively different scenarios including exponential, Gaussian or algebraic decay of the decoherence function are analyzed. It is shown that partial revivals of coherence can occur in case of non-Lindblad-type dynamics.

Journal of Physics A Mathematical and Theoretical•Jun 11, 2008•9 citations

Macroscopic Effects of Quantum Entanglement

Časlav Brukner, Vlatko Vedral, Anton Zeilinger

Bulletin of the American Physical Society•Mar 23, 2005•0 citations
The concept of motion in quantum theory is reviewed from a didactical point of view. A unitary evolution according to a Schrödinger equation has very different properties compared to motion in classical physics. If the phase relations defining unitary dynamics are destroyed or unavailable, motion becomes impossible (Zeno effect). The most important mechanism is dislocalization of phase relations (decoherence), arising from coupling of a quantum system to its environment. Macroscopic systems are not frozen, although strong decoherence is important to derive quasi-classical motion within the quantum framework. These two apparently conflicting consequences of strong decoherence are analyzed and compared.
Conditions which may lead to a freezing of the motion of a system under continuous observation (the so-called "Zeno paradox" or "watchdog effect") are examined. The measurement process is treated phenomenologically by the usual wave-packet reduction as well as in a more realistic way by including the measuring apparatus. For this purpose a model for an ideal measurement process is employed, following an example given by von Neumann. The resulting behavior varies between complete freezing and a mere suppression of interference terms and constant transition rates as represented by a master equation (rate equation). The most familiar example of the latter is Fermi's golden rule, with integration leading to exponential decay. Reviewing and extending the derivation of the Pauli master equation, the conditions leading to constant transition rates are discussed. The importance of the interaction with the natural environment for establishing a master equation is emphasized. Some consequences for the derivation of macroscopic equations of motion and for the physical foundations of superselection rules are pointed out.
We study the non-Markovian decoherence and disentanglement dynamics of dissipative quantum systems with special emphasis on non-Gaussian continuous variable systems. The dynamics are described by the Hu–Paz–Zhang master equation of quantum Brownian motion. The time evolution of the decoherence function of a single-mode superposition is compared to the concurrence of a two-mode entangled state. It is verified that moderate non-Markovian influences slow down the decay of interference fringes and quantum correlations, while strong non-Markovian effects resulting from an out-of-resonance bath can even accelerate the loss of coherence, compared to predictions of Markovian approximations. Qualitatively different scenarios including exponential, Gaussian or algebraic decay of the decoherence function are analyzed. It is shown that partial revivals of coherence can occur in case of non-Lindblad-type dynamics.