Understanding many-body physics in one dimension from the Lieb–Liniger model
Jiang Yu-Zhua), b) , Chen Yang-Yanga), b) , Guan Xi-Wena), b)† 
Understanding many-body physics in one dimension from the Lieb–Liniger model |
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Jiang Yu-Zhu
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| The ground state energy and sound velocity for different coupling strength γ . (a) The ground energy density is a monotonic increasing function of γ when the linear density is fixed. Black line: the exact numerical result from Eq. ( 23 ). Red line: the weakly coupling expansion result ( 24 ). Blue line: the result obtained by the strongly coupling expansion ( 31 ). (b) The sound velocity is a monotonic decreasing function of γ . In the weakly coupling limit, the ratio turns to be infinite, while in the strong coupling limit, v s/ c → = 2 π / γ (see Eq. ( 45 )). |
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