[1] Glauber R J. Photon correlations[J]. Physical Review Letters, 10, 84-86(1963).

[2] Brown R H, Twiss R Q. The question of correlation between photons in coherent light rays[J]. Nature, 178, 1447-1448(1956).

[3] Oliver W D, Kim J, Liu R C et al. Hanbury Brown and Twiss-type experiment with electrons[J]. Science, 284, 299-301(1999).

[4] Fölling S, Gerbier F, Widera A et al. Spatial quantum noise interferometry in expanding ultracold atom clouds[J]. Nature, 434, 481-484(2005).

[5] Schellekens M, Hoppeler R, Perrin A et al. Hanbury Brown Twiss effect for ultracold quantum gases[J]. Science, 310, 648-651(2005).

[6] Han J X, Li X Y, Zhang J N et al. Characterizing noise correlation and enhancing coherence via qubit motion[J]. Fundamental Research, 1, 10-15(2021).

[7] Yan Z H, Qin J L, Qin Z Z et al. Generation of non-classical states of light and their application in deterministic quantum teleportation[J]. Fundamental Research, 1, 43-49(2021).

[8] Dall R G, Manning A G, Hodgman S S et al. Ideal n-body correlations with massive particles[J]. Nature Physics, 9, 341-344(2013).

[9] Öttl A, Ritter S, Köhl M et al. Correlations and counting statistics of an atom laser[J]. Physical Review Letters, 95, 090404(2005).

[10] Jeltes T, McNamara J M, Hogervorst W et al. Comparison of the Hanbury Brown-Twiss effect for bosons and fermions[J]. Nature, 445, 402-405(2007).

[11] Greiner M, Regal C A, Stewart J T et al. Probing pair-correlated fermionic atoms through correlations in atom shot noise[J]. Physical Review Letters, 94, 110401(2005).

[12] Altman E, Demler E, Lukin M D. Probing many-body states of ultracold atoms via noise correlations[J]. Physical Review A, 70, 013603(2004).

[13] Langen T, Geiger R, Kuhnert M et al. Local emergence of thermal correlations in an isolated quantum many-body system[J]. Nature Physics, 9, 640-643(2013).

[14] Langen T, Erne S, Geiger R et al. Experimental observation of a generalized Gibbs ensemble[J]. Science, 10, 207-211(2015).

[15] Wang L M, Wang L, Zhang Y B. Quantum walks of two interacting anyons in one-dimensional optical lattices[J]. Physical Review A, 90, 063618(2014).

[16] Nussinov Z, Ortiz G. Autocorrelations and thermal fragility of anyonic loops in topologically quantum ordered systems[J]. Physical Review B, 77, 064302(2008).

[17] Watanabe H, Oshikawa M. Absence of quantum time crystals[J]. Physical Review Letters, 114, 251603(2015).

[18] Gharibyan H, Hanada M, Swingle B et al. Characterization of quantum chaos by two-point correlation functions[J]. Physical Review E, 102, 022213(2020).

[19] Cornfeld I P, Fomin S V, Sinai Y G[M]. Ergodic Theory, 28-33(1982).

[20] Bromberg Y, Lahini Y, Small E et al. Hanbury Brown and Twiss interferometry with interacting photons[J]. Nature Photonics, 4, 721-726(2010).

[21] Carusotto I, Ciuti C. Quantum fluids of light[J]. Reviews of Modern Physics, 85, 299-366(2013).

[22] Perrin A, Bücker R, Manz S et al. Hanbury Brown and Twiss correlations across the Bose-Einstein condensation threshold[J]. Nature Physics, 8, 195-198(2012).

[23] Cayla H, Butera S, Carcy C et al. Hanbury Brown and Twiss bunching of phonons and of the quantum depletion in an interacting bose gas[J]. Physical Review Letters, 125, 165301(2020).

[24] Modugno G, Roati G, Riboli F et al. Collapse of a degenerate fermi gas[J]. Science, 297, 2240-2243(2002).

[25] Imambekov A, Demler E. Applications of exact solution for strongly interacting one dimensional Bose-Fermi mixture: Low-temperature correlation functions, density profiles, and collective modes[J]. Annals of Physics, 321, 2390-2437(2006).

[26] Cheianov V V, Smith H, Zvonarev M B. Low-temperature crossover in the momentum distribution of cold atomic gases in one dimension[J]. Physical Review A, 71, 033610(2005).

[27] Fiete G A, Balents L. Green's function for magnetically incoherent interacting electrons in one dimension[J]. Physical Review Letters, 93, 226401(2004).