WebThe elements in S U ( 1, 1) consist of matrices of unit determinant which preserve the quadratic form ( x, y) = x ¯ 1 y 1 − x ¯ 2 y 2 over C, that is, if A ∈ S U ( 1, 1), then ( A x, A y) = ( x, y) and det A = 1. U ( 1) is usually the unitary group which can be written as the unit-circle in the complex plane; e i θ ∈ U ( 1). Web6 Apr 2024 · The methods given in this paper can be extended to other high-dimensional integrable systems and further study the dynamic behaviors of ocean waves. The …

Breather excitations on the one-dimensional quantum droplet

WebGeometrically, SU(1,1) echoes produce closed trajectories on a single or multiple Poincare disks and thus could recover any initial states without changing the sign of the … WebOur work suggests a new geometric framework to coherently control quantum systems using SU (1,1) echoes, which could reverse dynamics of interacting bosons without … simple white blinds

Quantum simulation Nature Physics

Web30 Jun 2024 · Finally, we get the dispersion relation, (11) Ω = ± 1 2 K 4 a 2 G − 2 a G 3 / 2 + K 2. In order to describe MI, we define the value of MI gain as Im (Ω).In Fig. 1, we show the … Web17 Jul 2014 · Quantum metrology (or quantum parameter estimation), which is the use of quantum measurement techniques to obtain higher statistical precision than purely classical approaches, has been receiving a lot of attention in recent years [1–10] because essentially all measurements are affected by statistical errors.These arise from experimental … simple white bedroom ideas