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Quantum Ising Phases and Translations in Transverse Ising Models

Quantum Ising Phases and Translations in Transverse Ising Models PDF Author: Bikas K. Chakrabarti
Publisher:
ISBN:
Category :
Languages : en
Pages : 203

Book Description


Quantum Ising Phases and Translations in Transverse Ising Models

Quantum Ising Phases and Translations in Transverse Ising Models PDF Author: Bikas K. Chakrabarti
Publisher:
ISBN:
Category :
Languages : en
Pages : 203

Book Description


Quantum Ising Phases and Transitions in Transverse Ising Models

Quantum Ising Phases and Transitions in Transverse Ising Models PDF Author: Sei Suzuki
Publisher: Springer
ISBN: 3642330398
Category : Science
Languages : en
Pages : 407

Book Description
Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area.

Quantum Ising Phases and Transitions in Transverse Ising Models

Quantum Ising Phases and Transitions in Transverse Ising Models PDF Author: Bikas K. Chakrabarti
Publisher:
ISBN: 9783662140758
Category :
Languages : en
Pages : 220

Book Description


Order, Disorder, And Criticality: Advanced Problems Of Phase Transition Theory

Order, Disorder, And Criticality: Advanced Problems Of Phase Transition Theory PDF Author: Yurij Holovatch
Publisher: World Scientific
ISBN: 9814485152
Category : Science
Languages : en
Pages : 302

Book Description
This book reviews some of the classic aspects in the theory of phase transitions and critical phenomena, which has a long history. Recently, these aspects are attracting much attention due to essential new contributions. The topics presented in this book include: mathematical theory of the Ising model; equilibrium and non-equilibrium criticality of one-dimensional quantum spin chains; influence of structural disorder on the critical behaviour of the Potts model; criticality, fractality and multifractality of linked polymers; field-theoretical approaches in the superconducting phase transitions.The book is based on the review lectures that were given in Lviv (Ukraine) in March 2002 at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the subject.

Quantum Ising Phases and Transitions in Tranverse Ising Models

Quantum Ising Phases and Transitions in Tranverse Ising Models PDF Author: Bikas K. Chakrabarti
Publisher:
ISBN:
Category : Ising model
Languages : en
Pages : 203

Book Description


Quantum Phase Transitions in Transverse Field Models

Quantum Phase Transitions in Transverse Field Models PDF Author: Amit Dutta
Publisher: Cambridge University Press
ISBN: 1107068797
Category : Science
Languages : en
Pages : 357

Book Description
This book establishes the fundamental connections between the physics of quantum phase transitions and the technological promise of quantum information.

The Quantum Phase Transition in Transverse Field Ising and Ising-like Anistropic Systems

The Quantum Phase Transition in Transverse Field Ising and Ising-like Anistropic Systems PDF Author: Sofie Janas
Publisher:
ISBN:
Category :
Languages : en
Pages : 122

Book Description


Decoherence in the Quantum Ising Model with Transverse Dissipative Interaction in Strong Coupling Regime

Decoherence in the Quantum Ising Model with Transverse Dissipative Interaction in Strong Coupling Regime PDF Author: Hannes Weisbrich
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


Quantum Transverse Ising Spin-Glass Model in the Mean Field Approximation

Quantum Transverse Ising Spin-Glass Model in the Mean Field Approximation PDF Author: K. Lukierska-Walasek
Publisher:
ISBN:
Category :
Languages : en
Pages : 9

Book Description


Quantum Phase Transitions in Impurity Models and Percolating Lattices

Quantum Phase Transitions in Impurity Models and Percolating Lattices PDF Author: Manal M. Al-Ali
Publisher:
ISBN:
Category : Nonequilibrium statistical mechanics
Languages : en
Pages : 119

Book Description
"This thesis investigates the influence of random disorder and dissipation on zero-temperature quantum phase transitions. Both phenomena can fundamentally change the character of the phases of a quantum many-particle system and of the transitions between them. If dissipation and disorder occur simultaneously in a system undergoing a quantum phase transition, particularly strong effects can be expected. In the first paper reproduced in this thesis, we study a single quantum rotor coupled to a sub-Ohmic dissipative bath. We find that this system undergoes a quantum phase transition from a delocalized phase to a localized phase as the dissipation strength is increased. We determine the exact critical behavior of this transition; it agrees with that of the corresponding long-range interacting classical model. Therefore, the quantum-to-classical mapping is valid for the sub-Ohmic rotor model. In the second paper, we investigate the influence of sub-Ohmic dissipation on randomly diluted quantum Ising and rotor models. We find that the zero-temperature quantum phase transition across the lattice percolation threshold separates an unusual super-paramagnetic cluster phase from an inhomogeneous ferromagnetic phase. We determine the low-temperature thermodynamic behavior in both phases, and we relate our results to the smeared transition scenario for disordered quantum phase transitions. In the last paper, the influence of Ohmic dissipation on the random transverse-field Ising chain is studied by means of large-scale Monte-Carlo simulations. Our simulations show that Ohmic dissipation destroys the infinite-randomness quantum critical point of the dissipationless system. Instead, the quantum phase transition between the paramagnetic and ferromagnetic phases is smeared, as predicted by a recent strong-disorder renormalization group approach"--Abstract, page iv.