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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Fock-space geometry and strong correlations in many-body localized systems
AU - Chen, Christian
AU - Schomerus, Henning
N1 - ©2021 American Physical Society
PY - 2021/11/15
Y1 - 2021/11/15
N2 - We adopt a geometric perspective on Fock space to provide two complementary insights into the eigenstates in many-body localized fermionic systems. On the one hand, individual many-body-localized eigenstates are well approximated by a Slater determinant of single-particle orbitals. On the other hand, the orbitals of different eigenstates in a given system display a varying, and generally imperfect, degree of compatibility, as we quantify by a measure based on the projectors onto the corresponding single-particle subspaces. We study this incompatibility between states of fixed and differing particle number, as well as inside and outside the many-body localized regime. This gives detailed insights into the emergence and strongly correlated nature of quasiparticlelike excitations in many-body localized systems, revealing intricate correlations between states of different particle numbers down to the level of individual realizations.
AB - We adopt a geometric perspective on Fock space to provide two complementary insights into the eigenstates in many-body localized fermionic systems. On the one hand, individual many-body-localized eigenstates are well approximated by a Slater determinant of single-particle orbitals. On the other hand, the orbitals of different eigenstates in a given system display a varying, and generally imperfect, degree of compatibility, as we quantify by a measure based on the projectors onto the corresponding single-particle subspaces. We study this incompatibility between states of fixed and differing particle number, as well as inside and outside the many-body localized regime. This gives detailed insights into the emergence and strongly correlated nature of quasiparticlelike excitations in many-body localized systems, revealing intricate correlations between states of different particle numbers down to the level of individual realizations.
U2 - 10.1103/PhysRevB.104.205411
DO - 10.1103/PhysRevB.104.205411
M3 - Journal article
VL - 104
JO - Physical review B
JF - Physical review B
SN - 2469-9969
IS - 20
M1 - 205411
ER -