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Quantum coherence and entanglement a...

Tolkunov, Denis.

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Quantum coherence and entanglement at the nanoscale.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quantum coherence and entanglement at the nanoscale./
作者:	Tolkunov, Denis.
面頁冊數:	159 p.
附註:	Adviser: Vladimir Privman.
Contained By:	Dissertation Abstracts International69-01B.
標題:	Physics, Condensed Matter. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3299992
ISBN:	9780549444237

Quantum coherence and entanglement at the nanoscale.
Tolkunov, Denis.

Quantum coherence and entanglement at the nanoscale. - 159 p.

Adviser: Vladimir Privman.

Thesis (Ph.D.)--Clarkson University, 2007.

Finally, in Chapter 7, we summarize the results obtained in the thesis and discuss the directions for the future research.

ISBN: 9780549444237Subjects--Topical Terms:

1018743
Physics, Condensed Matter.

Quantum coherence and entanglement at the nanoscale.
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100 1 $a Tolkunov, Denis. $3 1266296
245 1 0 $a Quantum coherence and entanglement at the nanoscale.
300 $a 159 p.
500 $a Adviser: Vladimir Privman.
500 $a Source: Dissertation Abstracts International, Volume: 69-01, Section: B, page: 0379.
502 $a Thesis (Ph.D.)--Clarkson University, 2007.
520 $a Finally, in Chapter 7, we summarize the results obtained in the thesis and discuss the directions for the future research.
520 $a In this work we present a study of coherent and non-coherent behavior of open quantum systems in situations when the quantum system is subject to environmental noise. In Chapter 1 we give an introduction to the topic and discuss a motivation of the present work.
520 $a In Chapter 2 we study the decay of entanglement of two two-state systems (two qubits) and demonstrate an important physical property that separated open quantum systems can evolve quantum mechanically on time scales larger than the times for which they remain entangled.
520 $a Chapter 3 deals with the indirect exchange interaction between two two-state systems, e.g., spins, and the quantum noise that they experience, due to an environment of bosonic modes, for instance, phonons or cavity photons. We analyze the coherent vs. noise-induced features of the two-spin dynamics and predict that for low enough temperatures the induced interaction is coherent over time scales sufficient to create entanglement. A non-perturbative approach is utilized to obtain an exact solution for the onset of the induced interaction, whereas for large times, a Markovian scheme is used. We identify the time scales for which the spins develop entanglement for various spatial separations. For large enough times, the initially created entanglement is erased by quantum noise. Estimates for the interaction and the level of quantum noise for localized impurity electron spins in Si-Ge type semiconductors are given.
520 $a An investigation of the quantum phase transition in both discrete and continuum field Dicke models is presented in Chapter 4. A series of anticrossing features following the criticality is revealed in the band of the field modes. Critical exponents are calculated. We investigate the properties of a pairwise entanglement measured by a concurrence and obtain analytical results in the thermodynamic limit.
520 $a In Chapter 5 we develop a short-time approximation for system-environmental bath mode interactions involving a general non-Hermitian system operator and its conjugate. The developed approach is complementary to Markovian approximations and appropriate for the evaluation of quantum computing schemes. An example of a spin system coupled to a bosonic heat bath is worked out in detail.
520 $a The quantum state of the localized lattice soliton (discrete breather) is studied in Chapter 6 in two ways. One method involves numerical diagonalization of the Hamiltonian, the other uses the path integral to examine correlations in the eigenstates. In both cases only the central nonlinearity is retained. To reduce truncation effects in the numerical diagonalization a basis is used that involved a quadratic local mode. A similar device is used in the path integral method for deducing localization. Both methods lead to the conclusion that aside from quantum tunneling the quantized discrete breather is stable.
590 $a School code: 0049.
650 4 $a Physics, Condensed Matter. $3 1018743
650 4 $a Physics, Theory. $3 1019422
690 $a 0611
690 $a 0753
710 2 $a Clarkson University. $3 1020943
773 0 $t Dissertation Abstracts International $g 69-01B.
790 $a 0049
790 1 0 $a Privman, Vladimir, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3299992