Two-site reduced density matrix from one- and two-particle Green's functions

被引：2

作者：

Roosz, Gergo ^{[1
]}

Kauch, Anna ^{[2
]}

Bippus, Frederic ^{[2
]}

Wieser, Daniel ^{[2
]}

Held, Karsten ^{[2
]}

机构：

[1] HUN REN Wigner Res Ctr Phys, POB 49, H-1525 Budapest, Hungary

[2] TU Wien, Inst Solid State Phys, A-1040 Vienna, Austria

来源：

PHYSICAL REVIEW B | 2024年 / 110卷 / 07期

基金：

奥地利科学基金会;

关键词：

ENTANGLEMENT; ENTROPY;

D O I：

10.1103/PhysRevB.110.075115

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Strongly correlated electron systems are challenging to calculate, and entanglement in such systems is not widely analyzed. We present an approach that can be used as a postprocessing step for calculating the two-site reduced density matrix and from it entanglement measures such as the mutual information and entanglement negativity. Input is only the one- and two-particle Green's function, which is the output of numerous many-body methods. As an illustration, we present results for a toy model, the Hubbard model on a 2 x 2 cluster and a six-site ring.

引用

页数：19

共 50 条

[21] The cumulant two-particle reduced density matrix as a measure of electron correlation and entanglement
Juhasz, Tamas
Mazziotti, David A.
JOURNAL OF CHEMICAL PHYSICS, 2006, 125 (17):
[22] Two-particle Green's functions in non-equilibrium matter
Koshelkin, AV
CZECHOSLOVAK JOURNAL OF PHYSICS, 2000, 50 : 120 - 125
[23] Weighted two-particle Green's functions in the coherent potential approximation
Schwabe, NF
Elliott, RJ
PHYSICAL REVIEW B, 1996, 53 (09) : 5301 - 5317
[24] Two-particle Green's functions in non-equilibrium matter
Koshelkin, AV
PHYSICS LETTERS B, 1999, 471 (2-3) : 202 - 207
[25] One- and two-particle microrheology in entangled solutions of fd virus
Addas, KM
Levine, AJ
Tang, JX
Schmidt, CF
ADVANCED BIOMATERIALS-CHARACTERIZATION, TISSUE ENGINEERING AND COMPLEXITY, 2002, 711 : 59 - 65
[26] One- and two-particle dynamics in microfluidic T-junctions
Ollila, Santtu T. T.
Denniston, Colin
Ala-Nissila, Tapio
PHYSICAL REVIEW E, 2013, 87 (05):
[27] Exact Green's functions for the two-site Hubbard-Holstein Hamiltonian
Berciu, Mona
PHYSICAL REVIEW B, 2007, 75 (08):
[28] Extraction of electronic excited states from the ground-state two-particle reduced density matrix
Mazziotti, DA
PHYSICAL REVIEW A, 2003, 68 (05):
[29] Sparse sampling and tensor network representation of two-particle Green's functions
Shinaoka, Hiroshi
Geffroy, Dominique
Wallerberger, Markus
Otsuki, Junya
Yoshimi, Kazuyoshi
Gull, Emanuel
Kunes, Jan
SCIPOST PHYSICS, 2020, 8 (01):
[30] EIGENINFERENCE BASED ON ONE- AND TWO-POINT GREEN'S FUNCTIONS
Drogosz, Zbigniew
ACTA PHYSICA POLONICA B, 2020, 51 (07): : 1655 - 1662

← 1 2 3 4 5 →