[quantum-info] [unusual date!] PIQuDos seminar on Thu Feb 06: Zhang Jiang

[Gus Gutoski]

Reminder: PiQuDos seminar by Zhang Jiang tomorrow at 16:00 in the Time room.


On Thu, Jan 30, 2014 at 5:54 PM, Gus Gutoski <ggutoski at perimeterinstitute.ca
> wrote:

> Please join us on Thursday, February 6 at 4pm in the Time room for a
> quantum information seminar by Zhang Jiang.
>
> Title: *Bosonic particle-correlated states*
> Speaker: *Zhang Jiang* (University of New Mexico)
>
> Abstract: Quantum many-body problems are notorious hard. This is partly
> because the Hilbert space becomes exponentially big with the particle
> number N.  While exact solutions are often considered intractable, numerous
> approaches have been proposed using approximations. A common trait of these
> approaches is to use an ansatz such that the number of parameters either
> does not depend on N or is proportional to N, e.g., the matrix-product
> state for spin lattices, the BCS wave function for superconductivity, the
> Laughlin wave function for fractional quantum Hall effects, and the
> Gross-Pitaecskii theory for BECs. Among them the product ansatz for BECs
> has precisely predicted many useful properties of Bose gases at ultra-low
> temperature. As particle-particle correlation becomes important, however,
> it begins to fail. To capture the quantum correlations, we propose a new
> set of states, which constitute a natural generalization of the
> product-state ansatz. Our state of N=d x n identical particles is derived
> by symmetrizing the n-fold product of a d-particle quantum state.  For
> fixed d, the parameter space of our state does not grow with N.
> Numerically, we show that our ansatz gives the right description for the
> ground state and time evolution of the two-site Bose-Hubbard model.
>
> Date: Thursday, February 06, 2014.
> Time: 16:00
> Location: Time Room (294)
> -Gus
>
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