Entanglement In Spin Chains

Author : Abolfazl Bayat
Publisher : Springer Nature
ISBN 13 : 303103998X
Total Pages : 549 pages
Book Rating : 4.80/5 ( download)

DOWNLOAD NOW!

Download or read book Entanglement in Spin Chains written by Abolfazl Bayat and published by Springer Nature. This book was released on 2022-09-26 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent developments in the understanding, quantification, and exploitation of entanglement in spin chain models from both condensed matter and quantum information perspectives. Spin chain models are at the foundation of condensed matter physics and quantum information technologies and elucidate many fundamental phenomena such as information scrambling, quantum phase transitions, and many-body localization. Moreover, many quantum materials and emerging quantum devices are well described by spin chains. Comprising accessible, self-contained chapters written by leading researchers, this book is essential reading for graduate students and researchers in quantum materials and quantum information. The coverage is comprehensive, from the fundamental entanglement aspects of quantum criticality, non-equilibrium dynamics, classical and quantum simulation of spin chains through to their experimental realizations, and beyond into machine learning applications.

Author : Shai Gad Machnes
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.52/5 ( download)

DOWNLOAD NOW!

Download or read book Entanglement in Spin-chains written by Shai Gad Machnes and published by . This book was released on 2005 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michel Gaudin
Publisher : Cambridge University Press
ISBN 13 : 1107783119
Total Pages : 341 pages
Book Rating : 4.19/5 ( download)

DOWNLOAD NOW!

Download or read book The Bethe Wavefunction written by Michel Gaudin and published by Cambridge University Press. This book was released on 2014-03-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michel Gaudin's book La fonction d'onde de Bethe is a uniquely influential masterpiece on exactly solvable models of quantum mechanics and statistical physics. Available in English for the first time, this translation brings his classic work to a new generation of graduate students and researchers in physics. It presents a mixture of mathematics interspersed with powerful physical intuition, retaining the author's unmistakably honest tone. The book begins with the Heisenberg spin chain, starting from the coordinate Bethe Ansatz and culminating in a discussion of its thermodynamic properties. Delta-interacting bosons (the Lieb-Liniger model) are then explored, and extended to exactly solvable models associated to a reflection group. After discussing the continuum limit of spin chains, the book covers six- and eight-vertex models in extensive detail, from their lattice definition to their thermodynamics. Later chapters examine advanced topics such as multi-component delta-interacting systems, Gaudin magnets and the Toda chain.

Author : Thomas S. Jackson
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.52/5 ( download)

DOWNLOAD NOW!

Download or read book Quantum Entanglement in Random Antiferromagnetic Spin Chains written by Thomas S. Jackson and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Krishan Canzius
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.99/5 ( download)

DOWNLOAD NOW!

Download or read book Entanglement Metrics for Quantum Spin Chains written by Krishan Canzius and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Abolfazl Bayat
Publisher :
ISBN 13 : 9788303103994
Total Pages : 0 pages
Book Rating : 4.97/5 ( download)

DOWNLOAD NOW!

Download or read book Entanglement in Spain Chains written by Abolfazl Bayat and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent developments in the understanding, quantification, and exploitation of entanglement in spin chain models from both condensed matter and quantum information perspectives. Spin chain models are at the foundation of condensed matter physics and quantum information technologies and elucidate many fundamental phenomena such as information scrambling, quantum phase transitions, and many-body localization. Moreover, many quantum materials and emerging quantum devices are well described by spin chains. Comprising accessible, self-contained chapters written by leading researchers, this book is essential reading for graduate students and researchers in quantum materials and quantum information. The coverage is comprehensive, from the fundamental entanglement aspects of quantum criticality, non-equilibrium dynamics, classical and quantum simulation of spin chains through to their experimental realizations, and beyond into machine learning applications.

Author : Hannu Christian Wichterich
Publisher : Springer Science & Business Media
ISBN 13 : 3642193420
Total Pages : 121 pages
Book Rating : 4.22/5 ( download)

DOWNLOAD NOW!

Download or read book Entanglement Between Noncomplementary Parts of Many-Body Systems written by Hannu Christian Wichterich and published by Springer Science & Business Media. This book was released on 2011-05-18 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis investigates the structure and behaviour of entanglement, the purely quantum mechanical part of correlations, in many-body systems, employing both numerical and analytical techniques at the interface of condensed matter theory and quantum information theory. Entanglement can be seen as a precious resource which, for example, enables the noiseless and instant transmission of quantum information, provided the communicating parties share a sufficient "amount" of it. Furthermore, measures of entanglement of a quantum mechanical state are perceived as useful probes of collective properties of many-body systems. For instance, certain measures are capable of detecting and classifying ground-state phases and, particularly, transition (or critical) points separating such phases. Chapters 2 and 3 focus on entanglement in many-body systems and its use as a potential resource for communication protocols. They address the questions of how a substantial amount of entanglement can be established between distant subsystems, and how efficiently this entanglement could be "harvested" by way of measurements. The subsequent chapters 4 and 5 are devoted to universality of entanglement between large collections of particles undergoing a quantum phase transition, where, despite the enormous complexity of these systems, collective properties including entanglement no longer depend crucially on the microscopic details.

Author : Rex Oliver Lundgren
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.45/5 ( download)

DOWNLOAD NOW!

Download or read book Momentum-space Entanglement in Quantum Spin Chains written by Rex Oliver Lundgren and published by . This book was released on 2016 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, the momentum-space entanglement properties of several quantum spin chains are investigated. In the second chapter we re- view important results on many-body entanglement. In the third chapter, we numerically study the momentum-space entanglement spectra of bosonic and fermionic formulations of the spin-1/2 XXZ chain [Phys. Rev. Lett. 113, 256404 (2014)]. We investigate the behavior of the entanglement gaps, present in both formulations, across quantum phase transitions in the XXZ chain. In both cases, finite size scaling suggests that the entanglement gap closure does not occur at the physical transition points. For bosons, we find that the entan- glement gap depends on the scaling dimension of the conformal field theory as varied by the X X Z anisotropy. For fermions, the infinite entanglement gap present at the XX point persists well past the phase transition at the Heisenberg point. We elaborate on how this may support the numerical study of phase transitions. In the third chapter, we advocate that in certain critical spin chains a gap in the momentum-space entanglement spectrum separates the universal part of the spectrum, which is determined by the associated conformal field theory, from the non-universal part, which is specific to the model [arXiv:1512.09030]. We provide affirmative evidence from multicritical spin-1 chains with low energy sectors described by the SU(2)2 or the SU(3)1 Wess-Zumino-Witten model. In chapter four, we study momentum- space en- tanglement in quantum spin-half ladders [Phys. Rev. B 93, 125107 (2016)]. When the system is gapped, we analytically find the momentum-space entan- glement Hamiltonian is described by a chiral conformal field theory with a central charge of two. When the system is gapless, the entanglement Hamil- tonian consists of one gapless mode that is linear in subsystem momentum and one mode with a flat dispersion relation. We also analytically include the effect of a certain irrelevant terms (in the renormalization group sense) on the entanglement spectrum. In chapter six, we investigate the momentum- space entanglement spectrum after a quantum quench [arXiv:1603.01997]. We show that the momentum-space entanglement spectrum of the XXZ spin- half chain possesses many universal features both in equilibrium and after a quantum quench.

Author : Thomas Orlando Boness
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.69/5 ( download)

DOWNLOAD NOW!

Download or read book Quantum Chaos and Entanglement in Spin-chains written by Thomas Orlando Boness and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : T. O. Boness
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.94/5 ( download)

DOWNLOAD NOW!

Download or read book Quantum Chaos and Entanglement in Spin-chains written by T. O. Boness and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: