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Title: Production of Entanglement Entropy by Decoherence

Journal Article · · Open Systems & Information Dynamics
 [1];  [2];  [3];  [4];  [5]
  1. Memorial Univ. of Newfoundland, St. John’s, NL (Canada). Dept. of Mathematics and Statistics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); New Mexico Consortium, Los Alamos, NM (United States)
  3. New Mexico Consortium, Los Alamos, NM (United States)
  4. Quantum Strategics, San Diego, CA (United States)
  5. Univ. of Guadalajara (Mexico). Univ. Center of Exact Sciences and Engineering (CUCEI)
+ Show Author Affiliations

We examine here the dynamics of entanglement entropy of all parts in an open system consisting of a two-level dimer interacting with an environment of oscillators. The dimer-environment interaction is almost energy conserving. We find the precise link between decoherence and production of entanglement entropy. We show that not all environment oscillators carry significant entanglement entropy and we identify the oscillator frequency regions which contribute to the production of entanglement entropy. For energy conserving dimer-environment interactions the models are explicitly solvable and our results hold for all dimer-environment coupling strengths. We carry out a mathematically rigorous perturbation theory around the energy conserving situation in the presence of small non-energy conserving interactions.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Memorial Univ. of Newfoundland, St. John’s, NL (Canada); Univ. of Guadalajara (Mexico)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); LANL Laboratory Directed Research and Development (LDRD) Program; Natural Sciences and Engineering Research Council of Canada (NSERC); National Council of Science and Technology (CONACYT) (Mexico)
Grant/Contract Number:
AC52-06NA25396; 15349
OSTI ID:
1511222
Report Number(s):
LA-UR-17-20823
Journal Information:
Open Systems & Information Dynamics, Vol. 25, Issue 01; ISSN 1230-1612
Publisher:
World ScientificCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

References (21)

Superconducting Qubits Are Getting Serious journal December 2011
Building up spacetime with quantum entanglement journal June 2010
Energy transfer from Förster–Dexter theory to quantum coherent light-harvesting journal January 2011
Coherent Exciton Dynamics in the Presence of Underdamped Vibrations journal February 2015
Measuring Entanglement Entropy of a Generic Many-Body System with a Quantum Switch journal July 2012
Pure Decoherence in Quantum Systems journal March 2004
Representations of Canonical Commutation Relations Describing Infinite Coherent States journal March 2016
Dynamics of a chlorophyll dimer in collective and local thermal environments journal January 2016
Measuring correlated electronic and vibrational spectral dynamics using line shapes in two-dimensional electronic-vibrational spectroscopy journal May 2015
Reduced density matrices and entanglement entropy in free lattice models journal December 2009
Environment-assisted quantum transport journal March 2009
Special Review: Entanglement in Solvable Many-Particle Models journal March 2012
The role of quantum information in thermodynamics—a topical review journal February 2016
Measuring entanglement entropy in a quantum many-body system journal December 2015
The role of non-equilibrium vibrational structures in electronic coherence and recoherence in pigment–protein complexes journal January 2013
Entanglement Entropy and Quantum Field Theory: a Non-Technical Introduction journal June 2006
Entanglement entropy in extended quantum systems journal December 2009
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States journal July 2008
Resonance theory of decoherence and thermalization journal February 2008
From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example journal February 1998
Concentrating partial entanglement by local operations journal April 1996

Figures / Tables (5)

Figure 1(p. 18)figure Figure 1
Figure 2(p. 19)figure Figure 2
Figure 3(p. 20)figure Figure 3
Figure 4(p. 21)figure Figure 4
Figure 5(p. 22)figure Figure 5

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Related Subjects

97 MATHEMATICS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
entanglement entropy
decoherence
thermalization
pure reservoir state
coherent states
continuous mode limit