| Full text | |
| Author(s): |
Bera, S.
[1]
;
Chakrabarti, B.
[2, 1]
;
Gammal, A.
[2]
;
Tsatsos, M. C.
[3]
;
Lekala, M. L.
[4]
;
Chatterjee, B.
[5]
;
Leveque, C.
[6, 7]
;
Lode, A. U. J.
[6, 7, 8]
Total Authors: 8
|
| Affiliation: | [1] Presidency Univ, Dept Phys, 86-1 Coll St, Kolkata 700073 - India
[2] Univ Sao Paulo, Inst Fis, BR-05508090 Sao Paulo - Brazil
[3] Univ Sao Paulo, Inst Fis Sao Carlos, CP 369, BR-13560970 Sao Carlos, SP - Brazil
[4] Univ South Africa, Dept Phys, POB 392, ZA-0003 Pretoria - South Africa
[5] Indian Inst Technol Kanpur, Dept Phys, Kanpur 208016, Uttar Pradesh - India
[6] Univ Vienna, Wolfgang Pauli Inst, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna - Austria
[7] TU Wien, Vienna Ctr Quantum Sci & Technol, Atominst, Stad Allee 2, A-1020 Vienna - Austria
[8] Albert Ludwigs Univ Freiburg, Inst Phys, Hermann Herder Str 3, D-79104 Freiburg - Germany
Total Affiliations: 8
|
| Document type: | Journal article |
| Source: | SCIENTIFIC REPORTS; v. 9, NOV 29 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
Fermionization is what happens to the state of strongly interacting repulsive bosons interacting with contact interactions in one spatial dimension. Crystallization is what happens for sufficiently strongly interacting repulsive bosons with dipolar interactions in one spatial dimension. Crystallization and fermionization resemble each other: in both cases - due to their repulsion - the bosons try to minimize their spatial overlap. We trace these two hallmark phases of strongly correlated one-dimensional bosonic systems by exploring their ground state properties using the one- and two-body density matrix. We solve the N-body Schrodinger equation accurately and from first principles using the multiconfigurational time-dependent Hartree for bosons (MCTDHB) and for fermions (MCTDHF) methods. Using the one- and two-body density, fermionization can be distinguished from crystallization in position space. For N interacting bosons, a splitting into an N-fold pattern in the one-body and two-body density is a unique feature of both, fermionization and crystallization. We demonstrate that this splitting is incomplete for fermionized bosons and restricted by the confinement potential. This incomplete splitting is a consequence of the convergence of the energy in the limit of infinite repulsion and is in agreement with complementary results that we obtain for fermions using MCTDHF. For crystalline bosons, in contrast, the splitting is complete: the interaction energy is capable of overcoming the confinement potential. Our results suggest that the spreading of the density as a function of the dipolar interaction strength diverges as a power law. We describe how to distinguish fermionization from crystallization experimentally from measurements of the one- and two-body density. (AU) | |
| FAPESP's process: | 16/19622-0 - Quench dynamics of interacting bosons in 1D optical lattice |
| Grantee: | Arnaldo Gammal |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |