20.500.12556/RUL-165928 Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion Quasicondensation in one dimension is known to occur for equilibrium systems of hard-core bosons (HCBs) at zero temperature. This phenomenon arises due to the off-diagonal long-range order in the ground state, characterized by a power-law decay of the one-particle density matrix $g_1(x,y) \sim |x-y|^{-1/2}$ —a well-known outcome of Luttinger liquid theory. Remarkably, HCBs, when allowed to freely expand from an initial product state (i.e. characterized by initial zero correlation), exhibit quasicondensation and demonstrate the emergence of off-diagonal long-range order during nonequilibrium dynamics. This phenomenon has been substantiated by numerical and experimental investigations in the early 2000s. In this work, we revisit the dynamical quasicondensation of HCBs, providing a fully analytical treatment of the issue. In particular, we derive an exact asymptotic formula for the equal-time one-particle density matrix by borrowing ideas from the framework of quantum Generalized Hydrodynamics. Our findings elucidate the phenomenology of quasicondensation and of dynamical fermionization occurring at different stages of the time evolution, as well as the crossover between the two. quasicondensation hydrodynamics nonequilibrium dynamics quantum mechanics bosons kvantna mehanika kvazikondenzacija hidrodinamika neravnovesna dinamika bozoni true false true Angleški jezik Slovenski jezik Članek v reviji 2024-12-13 11:15:55 2024-12-13 11:15:56 2024-12-14 04:07:54 0000-00-00 00:00:00 2024 0 0 36 str. no. 49, art. no. 495003 Vol. 57 Nov. 2024 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2025-11-22 536.93 1751-8113 10.1088/1751-8121/ad7fa8 217745923 2401.16860v1.pdf 2401.16860v1.pdf 1 75F282DD247030E3FC518FDC555B8E2E 0abea2df35c009d153a24d651c85de56d3cda4cf5ca64ca51219686d00942b45 c830ac27-b93c-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=197217 https://iopscience.iop.org/article/10.1088/1751-8121/ad7fa8 0 d8bf9e97-b93c-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=197218 Fakulteta za matematiko in fiziko 0 0 0