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Title: Many-body multivaluedness of particle-current variance in closed and open cold-atom systems

Abstract

The quantum variance of an observable is a fundamental quantity in quantum mechanics and provides additional information other than the average itself. By examining the relation between the particle-current variance (δ J) 2 and the average current J in both closed and open interacting fermionic systems, we show the emergence of a multivalued parametric curve between δ J and J due to interactions. As a closed system we consider the persistent current in a benzenelike lattice enclosing an effective magnetic flux and solve it by exact diagonalization. For the open system, the steady-state current flowing through a few lattice sites coupled to two particle reservoirs is investigated using a Lindblad equation. In both cases, interactions open a loop and change the topology of the corresponding δ JJ curve, showing that this effect is model independent. Here, we finally discuss how the predicted phenomenon can be observed in ultracold atoms, thus offering an alternative way of probing the dynamics of many-body systems.

Authors:
 [1]; ORCiD logo [2];  [3];  [1]
  1. Univ. of California, Merced, CA (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Univ. of California, San Diego, La Jolla, CA (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1482946
Alternate Identifier(s):
OSTI ID: 1480367
Report Number(s):
LA-UR-18-23857
Journal ID: ISSN 2469-9926; PLRAAN
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Material Science

Citation Formats

Metcalf, Mekena, Lai, Chen -Yen, Di Ventra, Massimiliano, and Chien, Chih -Chun. Many-body multivaluedness of particle-current variance in closed and open cold-atom systems. United States: N. p., 2018. Web. doi:10.1103/PhysRevA.98.053601.
Metcalf, Mekena, Lai, Chen -Yen, Di Ventra, Massimiliano, & Chien, Chih -Chun. Many-body multivaluedness of particle-current variance in closed and open cold-atom systems. United States. doi:10.1103/PhysRevA.98.053601.
Metcalf, Mekena, Lai, Chen -Yen, Di Ventra, Massimiliano, and Chien, Chih -Chun. Thu . "Many-body multivaluedness of particle-current variance in closed and open cold-atom systems". United States. doi:10.1103/PhysRevA.98.053601.
@article{osti_1482946,
title = {Many-body multivaluedness of particle-current variance in closed and open cold-atom systems},
author = {Metcalf, Mekena and Lai, Chen -Yen and Di Ventra, Massimiliano and Chien, Chih -Chun},
abstractNote = {The quantum variance of an observable is a fundamental quantity in quantum mechanics and provides additional information other than the average itself. By examining the relation between the particle-current variance (δJ)2 and the average current J in both closed and open interacting fermionic systems, we show the emergence of a multivalued parametric curve between δJ and J due to interactions. As a closed system we consider the persistent current in a benzenelike lattice enclosing an effective magnetic flux and solve it by exact diagonalization. For the open system, the steady-state current flowing through a few lattice sites coupled to two particle reservoirs is investigated using a Lindblad equation. In both cases, interactions open a loop and change the topology of the corresponding δJ–J curve, showing that this effect is model independent. Here, we finally discuss how the predicted phenomenon can be observed in ultracold atoms, thus offering an alternative way of probing the dynamics of many-body systems.},
doi = {10.1103/PhysRevA.98.053601},
journal = {Physical Review A},
issn = {2469-9926},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {11}
}

Journal Article:
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