Journal
PHYSICAL REVIEW B
Volume 104, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.205411
Keywords
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Funding
- U.K. Engineering and Physical Sciences Research Council (EPSRC) [EP/P010180/1, EP/L01548X/1]
- EPSRC [EP/P010180/1] Funding Source: UKRI
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By adopting a geometric perspective on Fock space, this study provides insights into the eigenstates in many-body localized fermionic systems. It reveals that individual many-body localized eigenstates can be well approximated by a Slater determinant of single-particle orbitals, while the orbitals of different eigenstates in a given system exhibit varying degrees of compatibility. This incompatibility between states of fixed and differing particle number, as well as inside and outside the many-body localized regime, offers detailed insights into the emergence and nature of quasiparticlelike excitations in such systems.
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.
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