量子アニーラ(D-wave)を用いた多変量標準正規分布に従う乱数生成に向けた検証

We present a bosonic model, in which two bosons may form a bound pair with d-wave symmetry via the four-site ring exchange interaction. A d-wave pairing superfluid as well as a d-wave density wave (DDW) state, are proposed to be achievable in this system. This exotic bosonic system can be realized in the BEC zone of a two-dimensional attractive p-band spinless fermionic system. By the mean field approach, we find that at low densities, the d-wave pairs may condensate, leading to a d-wave bosonic paired superfluid. At some particular filling factors, a novel phase, d-wave density wave state, emerges. We study this DDW state and its corresponding quantum phase transition in a two-leg ladder by the time-evolving block decimation (TEBD) method.We present a bosonic model, in which two bosons may form a bound pair with d-wave symmetry via the four-site ring exchange interaction. A d-wave pairing superfluid as well as a d-wave density wave (DDW) state, are proposed to be achievable in this system. This exotic bosonic system can be realized in the BEC zone of a two-dimensional attractive p-band spinless fermionic system. By the mean field approach, we find that at low densities, the d-wave pairs may condensate, leading to a d-wave bosonic paired superfluid. At some particular filling factors, a novel phase, d-wave density wave state, emerges. We study this DDW state and its corresponding quantum phase transition in a two-leg ladder by the time-evolving block decimation (TEBD) method.

arXiv:0910.0508Oct 3, 20090 citations

量子コンピュータの新潮流 : 量子アニーリングとD-Wave

聖子宇都宮

人工知能学会誌 = Journal of Japanese Society for Artificial IntelligenceMar 1, 20140 citations

Resonant d -wave scattering in harmonic waveguides

Panagiotis Giannakeas, Vladimir S. Melezhik, Peter Schmelcher

We observe and analyze $d$ -wave resonant scattering of bosons in tightly confining harmonic waveguides. It is shown that the $d$ -wave resonance emerges in the quasi-1D regime as an imprint of a 3D $d$ -wave shape resonance. A scaling relation for the position of the $d$ -wave resonance is provided. By changing the trap frequency, ultracold scattering can be continuously tuned from $s$ -wave to $d$ -wave resonant behavior. The effect can be utilized for the realization of ultracold atomic gases interacting via higher partial waves and opens a possibility for studying strongly correlated atomic systems beyond $s$ -wave physics.We observe and analyze $d$-wave resonant scattering of bosons in tightly confining harmonic waveguides. It is shown that the $d$-wave resonance emerges in the quasi-1D regime as an imprint of a 3D $d$-wave shape resonance. A scaling relation for the position of the $d$-wave resonance is provided. By changing the trap frequency, ultracold scattering can be continuously tuned from $s$-wave to $d$-wave resonant behavior. The effect can be utilized for the realization of ultracold atomic gases interacting via higher partial waves and opens a possibility for studying strongly correlated atomic systems beyond $s$-wave physics.

arXiv:1102.5686Physical Review AAug 11, 201113 citations

D-wave confinement-induced resonances in harmonic waveguides

Panagiotis Giannakeas, Vladimir S. Melezhik, Peter Schmelcher +1 more

We observe d-wave confinement-induced resonances (CIRs) of bosonic scattering in tightly confining harmonic waveguides. It is shown that the d-wave CIR emerges in the quasi-1D regime as an imprint of a 3D d-wave shape resonance. A scaling relation for the position of the d-wave CIR is provided. By changing the trap frequency, ultracold scattering can be continuously tuned from s-wave to d-wave CIRs. The effect can be utilized for the realization of ultracold atomic gases interacting via higher partial waves and opens a novel possibility for studying strongly correlated atomic systems beyond s-wave physics. PACS numbers: 03.75.Be, 34.10.+x, 34.50.-sWe observe d-wave confinement-induced resonances (CIRs) of bosonic scattering in tightly confining harmonic waveguides. It is shown that the d-wave CIR emerges in the quasi-1D regime as an imprint of a 3D d-wave shape resonance. A scaling relation for the position of the d-wave CIR is provided. By changing the trap frequency, ultracold scattering can be continuously tuned from s-wave to d-wave CIRs. The effect can be utilized for the realization of ultracold atomic gases interacting via higher partial waves and opens a novel possibility for studying strongly correlated atomic systems beyond s-wave physics. PACS numbers: 03.75.Be, 34.10.+x, 34.50.-s

Feb 28, 20111 citation

量子アニーリングとD-Waveマシン(最先端研究)

秀稔西森

シミュレーションJun 15, 20150 citations

We observe and analyze

d

-wave resonant scattering of bosons in tightly confining harmonic waveguides. It is shown that the

d

-wave resonance emerges in the quasi-1D regime as an imprint of a 3D

d

-wave shape resonance. A scaling relation for the position of the

d

-wave resonance is provided. By changing the trap frequency, ultracold scattering can be continuously tuned from

s

-wave to

d

-wave resonant behavior. The effect can be utilized for the realization of ultracold atomic gases interacting via higher partial waves and opens a possibility for studying strongly correlated atomic systems beyond

s

-wave physics.