1. Probing quantum many-body correlations by universal ramping dynamics
- Author
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Libo Liang, Wei Zheng, Ruixiao Yao, Qinpei Zheng, Zhiyuan Yao, Tian-Gang Zhou, Qi Huang, Zhongchi Zhang, Jilai Ye, Xiaoji Zhou, Xuzong Chen, Wenlan Chen, Hui Zhai, and Jiazhong Hu
- Subjects
Condensed Matter::Quantum Gases ,Condensed Matter - Strongly Correlated Electrons ,Quantum Physics ,Multidisciplinary ,Statistical Mechanics (cond-mat.stat-mech) ,Strongly Correlated Electrons (cond-mat.str-el) ,Quantum Gases (cond-mat.quant-gas) ,FOS: Physical sciences ,Condensed Matter - Quantum Gases ,Quantum Physics (quant-ph) ,Condensed Matter - Statistical Mechanics - Abstract
Ramping a physical parameter is one of the most common experimental protocols in studying a quantum system, and ramping dynamics has been widely used in preparing a quantum state and probing physical properties. Here, we present a novel method of probing quantum many-body correlation by ramping dynamics. We ramp a Hamiltonian parameter to the same target value from different initial values and with different velocities, and we show that the first-order correction on the finite ramping velocity is universal and path-independent, revealing a novel quantum many-body correlation function of the equilibrium phases at the target values. We term this method as the non-adiabatic linear response since this is the leading order correction beyond the adiabatic limit. We demonstrate this method experimentally by studying the Bose-Hubbard model with ultracold atoms in three-dimensional optical lattices. Unlike the conventional linear response that reveals whether the quasi-particle dispersion of a quantum phase is gapped or gapless, this probe is more sensitive to whether the quasi-particle lifetime is long enough such that the quantum phase possesses a well-defined quasi-particle description. In the Bose-Hubbard model, this non-adiabatic linear response is significant in the quantum critical regime where well-defined quasi-particles are absent. And in contrast, this response is vanishingly small in both superfluid and Mott insulators which possess well-defined quasi-particles. Because our proposal uses the most common experimental protocol, we envision that our method can find broad applications in probing various quantum systems., Comment: 7 pages for main text. Science Bulletin (2022)
- Published
- 2022