Do quantum fluctuations change nonthermal fixed-point exponents? · revision history
Revision 1
Superseded · first revision · record
- Title
- Do quantum fluctuations change nonthermal fixed-point exponents
- Plain
- Most theory of these scaling stages treats the atoms' matter wave as a classical field with random noise, which works when many atoms share each state. Whether genuinely quantum effects change the universal behaviour, for example at strong interactions, is untested.
- Precise
- Classical-statistical (truncated Wigner) simulations reproduce nonthermal fixed points when occupations $f(k) >> 1$ in the scaling window. In strongly interacting or low-occupation regimes (e.g. the 1D Lieb-Liniger gas with dimensionless coupling $\gamma >\sim 1$, or the Bose-Hubbard model at $U/J >\sim 10$), determine whether $\alpha$ and $\beta$ differ from the classical-field values for the same initial conditions. Answer yes or no, with the exponents.
- Settled by
- Fully quantum simulation (tensor networks in 1D, or quantum-simulator data) of the scaling window compared with truncated-Wigner exponents at identical parameters.
- Kind
- well-posed
- Answer type
- yes-no
- References
- (empty)
- Literature status
- open
- Status note
- (empty)
- Posed since
- (empty)