Graduate What is quantum synchronization?

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Quantum synchronization refers to the phenomenon where quantum systems, such as coupled oscillators, exhibit coordinated behavior at the quantum scale. This is often observed in bosons, which tend to occupy the same quantum state due to Bose-Einstein statistics, leading to effects like Bose-Einstein condensation (BEC). The discussion highlights the relationship between quantum oscillations and classical synchronization, suggesting that quantum systems can mirror classical behaviors under certain conditions. A request for a simple experimental analogy to classical synchronization indicates interest in practical demonstrations of these concepts. Overall, quantum synchronization illustrates the interconnectedness of quantum mechanics and classical phenomena.
Danny Boy
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Can someone provide a clear basic description or reference to how the phenomena of synchronization manifests at the quantum scale?

Thanks.
 
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You mean like how coupled oscillators tend to move together?

The oscillations, described by solutions of a quantum harmonic oscillator are bosons. And so they exhibit bose enhancement: they want to be in the same mode.

A nice consequence of this is that it facilitates the formation of BEC's.
 
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Okay thanks for your response. What would be a simple experimental quantum analogy to the classical synchronization as seen in this video?
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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