Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The uncertainty product of an out-of-equilibrium many-particle system   In the present work we show, analytically and numerically, that the variance
of many-particle operators and their uncertainty product for an
out-of-equilibrium Bose-Einstein condensate (BEC) can deviate from the outcome
of the time-dependent Gross-Pitaevskii dynamics, even in the limit of infinite
number of particles and at constant interaction parameter when the system
becomes 100% condensed. We demonstrate our finding on the dynamics of the
center-of-mass position--momentum uncertainty product of a freely expanding as
well as of a trapped BEC. This time-dependent many-body phenomenon is explained
by the existence of time-dependent correlations which manifest themselves in
the system's reduced two-body density matrix used to evaluate the uncertainty
product. Our work demonstrates that one has to use a many-body propagation
theory to describe an out-of-equilibrium BEC, even in the infinite particle
limit.

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The categories of this paper are: hep-th
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org