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Volumn 69, Issue 2, 2004, Pages 24-

Dynamics of entanglement in one-dimensional spin systems

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EID: 84880319917     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.69.022304     Document Type: Article
Times cited : (76)

References (55)
  • 1
    • 85037242366 scopus 로고    scopus 로고
    • J.S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1987)
    • J.S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1987).
  • 2
    • 85174221332 scopus 로고    scopus 로고
    • M. Nielsen and I. Chuang, Quantum Computation and Quantum Communication (Cambridge University Press, Cambridge, 2000)
    • M. Nielsen and I. Chuang, Quantum Computation and Quantum Communication (Cambridge University Press, Cambridge, 2000).
  • 10
    • 85037229931 scopus 로고    scopus 로고
    • S. Bose, e-print quant-ph/0212041.
    • Bose, S.1
  • 19
    • 84924581223 scopus 로고    scopus 로고
    • S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 2000)
    • S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 2000).
  • 38
    • 85037224230 scopus 로고    scopus 로고
    • We would like to point out that the time dependence of the correlation functions calculated in Ref. 31 was due to a steplike time dependence in (Formula presented) and the system was taken to be initially in equilibrium
    • We would like to point out that the time dependence of the correlation functions calculated in Ref. 31 was due to a steplike time dependence in (Formula presented) and the system was taken to be initially in equilibrium.
  • 39
    • 85037203998 scopus 로고    scopus 로고
    • A further peculiarity of Eq. (12) as compared to the calculations done in Refs. 29. 331 is that in the present case the Wick theorem leads to time-dependent Pfaffians
    • A further peculiarity of Eq. (12) as compared to the calculations done in Refs. 293031 is that in the present case the Wick theorem leads to time-dependent Pfaffians.
  • 42
    • 85037225386 scopus 로고    scopus 로고
    • The entropy of a block of L spins and the scaling of it as a function of L was discussed in Ref. 20. Following the line of thought in Ref. 28, this quantity contained the more different types of entanglement the larger is L. We consider the case where A contains only a single site in order to study the conjecture in Ref. 28
    • The entropy of a block of L spins and the scaling of it as a function of L was discussed in Ref. 20. Following the line of thought in Ref. 28, this quantity contained the more different types of entanglement the larger is L. We consider the case where A contains only a single site in order to study the conjecture in Ref. 28.
  • 43
    • 85037223553 scopus 로고    scopus 로고
    • This relation can be found by noting the relation between the tangle and one of the eigenvalues (Formula presented) of (Formula presented) (Formula presented)
    • This relation can be found by noting the relation between the tangle and one of the eigenvalues (Formula presented) of (Formula presented) (Formula presented)
  • 49
    • 85037248036 scopus 로고    scopus 로고
    • We omit the indices n and m here, indicating that the considered Hilbert space consists of that two sites only
    • We omit the indices n and m here, indicating that the considered Hilbert space consists of that two sites only.
  • 50
    • 85037241806 scopus 로고    scopus 로고
    • This is in contrast to what should be observed, if the damping was related to the quantum critical point: it should depend on the size of the system in a way prescribed by the critical exponents of the system
    • This is in contrast to what should be observed, if the damping was related to the quantum critical point: it should depend on the size of the system in a way prescribed by the critical exponents of the system.


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