Robustness of Wave Functions of Interacting Many Bosons in a Leaky Box

Details Robustness of Wave Functions of Interacting Many Bosons in a Leaky Box Robustness of Wave Functions of Interacting Many Bosons in a Leaky Box

2000-02-18

arxiv.org/abs/quant-ph/0002052v3

Phys. Rev. Lett. 85 (2000) 688

Physics

Quantum Physics

Minor typographical errors, which are summarized in the Erratum (which has been submitted to PRL), have been fixed

Scientific paper

10.1103/PhysRevLett.85.688

We study the robustness, against the leakage of bosons, of wave functions of interacting many bosons confined in a finite box, by deriving and analyzing a general equation of motion for the reduced density operator. We identify a robust wave function that remains a pure state, whereas other wave functions, such as the Bogoliubov's ground state and the ground state with a fixed number of bosons, evolve into mixed states. Although these states all have the off-diagonal long-range order, and almost the same energy densities, we argue that only the robust state is realized as a macroscopic quantum state.

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