Is Complete Disentanglement Possible in Finite Time?

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Discussion Overview

The discussion centers on the theoretical possibility of complete disentanglement of an isolated macroscopic system from its external environment over a finite period of time. Participants explore concepts related to entanglement, particularly in the context of interactions and the conditions under which entanglement may diminish or remain invariant.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions whether an isolated macroscopic system can become completely disentangled from external environments through self-interaction over a finite time, noting that entanglement typically diminishes asymptotically.
  • Another participant asserts that if a system is isolated, it cannot be entangled with the external environment, suggesting a misunderstanding of the initial conditions.
  • A clarification is made regarding the scenario where a system is initially entangled with an environment and then separated; the participant questions whether the degree of entanglement will diminish asymptotically or reach zero in finite time.
  • Some participants argue that if a system is no longer interacting with its environment, the entanglement remains unchanged, as entanglement is invariant under local unitary transformations without interaction.
  • There is curiosity about how entanglement diminishes when the system interacts with a separate environment, with questions about whether complete disentanglement can occur through a finite number of interactions.
  • One participant mentions that complete disentanglement in finite time has been studied, referring to the phenomenon known as entanglement sudden death (ESD) and provides a link to a related paper.

Areas of Agreement / Disagreement

Participants express differing views on the nature of entanglement in isolated systems and the conditions necessary for disentanglement. The discussion remains unresolved, with multiple competing perspectives on the topic.

Contextual Notes

Participants note the importance of specifying the system and environment involved in the interactions, as well as the nature of those interactions, which may influence the outcomes discussed.

T S Bailey
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Is there any way in which an isolated macroscopic system, through interaction with itself for a very long but finite time, could become completely disentangled with any and all external environments? I'm aware of entanglement sudden death, but it's my understanding that this is a very special case, and that we should expect entanglement to diminish asymptotically in most physical interactions. My question is whether this is theoretically possible.
 
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If it's isolated it's not entangled with the external environment in the first place.
 
Nugatory said:
If it's isolated it's not entangled with the external environment in the first place.
I apologize for being vague. I meant that if we have a physical system which is entangled (to whatever degree) with an environment, and then is separated from that environment for a finite time, will the degree of entanglement diminish asymptotically or will it reach zero before infinity?
 
If the system is initially entangled with the environment, and then is placed in a situation where it can no longer interact with the environment, the entanglement will remain precisely the same (entanglement is invariant under local unitary transformations like time evolution without interaction).

Just as interaction is needed to create entanglement, interaction is also needed to destroy it.
 
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jfizzix said:
If the system is initially entangled with the environment, and then is placed in a situation where it can no longer interact with the environment, the entanglement will remain precisely the same (entanglement is invariant under local unitary transformations like time evolution without interaction).

Just as interaction is needed to create entanglement, interaction is also needed to destroy it.
What I'm really curious about is the way in which the entanglement diminishes when the system begins interacting with a separate environment. Should we expect an asymptotic decrease or is it theoretically possible to achieve complete disentanglement through a finite number of interactions in a finite time?
 
You would have to specify what system you're using as "the environment", and how the interaction between the two works.

That being said, complete disentanglement in a finite time has been studied, and it known as entanglement sudden death (ESD)
http://arxiv.org/pdf/0910.1396v1.pdf
 
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