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Two-level atoms interacting with a one mode cavity field at zero temperature have order parameters which reflect the presence of a quantum phase transition at a critical value of the atom-cavity coupling strength. Two popular examples are…

Quantum Physics · Physics 2015-06-11 J. G. Hirsch , O. Castaños , E. Nahmad-Achar , R. López-Penã

We consider the entanglement properties of the quantum phase transition in the single-mode superradiance model, involving the interaction of a boson mode and an ensemble of atoms. For infinite system size, the atom-field entanglement of…

Quantum Physics · Physics 2009-03-24 Neill Lambert , Clive Emary , Tobias Brandes

Quantum phase transitional behavior of a finite periodic XX spin-1/2 chain with nearest neighbor interaction in a uniform transverse field is studied based on the simple exact solutions. It is found that there are [N/2] level-crossing…

Quantum Physics · Physics 2007-05-23 Feng Pan , Nan Ma , Xin Guan , J. P. Draayer

A known limitation of time-dependent mean-field approaches is a lack of quantum tunneling for collective motions such as in sub-barrier fusion reactions. As a first step toward a solution, a time-dependent model is considered using a…

Nuclear Theory · Physics 2022-02-01 Akira Ono

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

We show how the use of variational states to approximate the ground state of a system can be employed to study a multi-mode Dicke model. One of the main contributions of this work is the introduction of a not very commonly used quantity,…

Quantum Physics · Physics 2020-06-19 L. F. Quezada , E. Nahmad-Achar

We consider the role of quantum effects in the transfer of hyrogen-like species in enzyme-catalysed reactions. This study is stimulated by claims that the observed magnitude and temperature dependence of kinetic isotope effects imply that…

Quantum Physics · Physics 2010-05-25 Jacques P. Bothma , Joel Gilmore , Ross H. McKenzie

We show that the entropy of entanglement is sensitive to the coherent quantum phase transition between normal and super-radiant regions of a system of a finite number of three-level atoms interacting in a dipolar approximation with a…

Quantum Physics · Physics 2019-08-20 Luis Fernando Quezada , Eduardo Nahmad-Achar

Quantum operations represented by completely positive maps encompass many of the physical processes and have been very powerful in describing quantum computation and information processing tasks. We introduce the notion of relative phase…

Quantum Physics · Physics 2007-05-23 Arun K. Pati

We theoretically investigate the implementation of a quantum phase gate in a system constituted by a single atom inside an optical cavity, based on the electromagnetically induced transparency effect. Firstly we show that a probe pulse can…

Quantum Physics · Physics 2016-12-21 Halyne S. Borges , Celso J. Villas-Bôas

Quantum Phase Transition (QPT) is a phase transition between different quantum states by adjusting some control parameters. Based on the Principle of Hamilton Dynamics (PHD) and the Principle of Lagrangian Dynamics (PLD), a general QPT…

Analysis of PDEs · Mathematics 2016-12-09 Tian Ma , Da-peng Li , Ruikuan Liu , Jiayan Yang

The rate of the trace distance is used to evaluate quantum speed-up for arbitrary mixed states. Compared with some present methods, the approach based on trace distance can provide an optimal bound to the speed of the evolution. The…

Quantum Physics · Physics 2016-11-04 Xiang Hao , Wenjiong Wu

Topological phase transitions can occur in the dissipative dynamics of a quantum system when the ratio of matrix elements for competing transport channels is varied. Here we establish a relation between such behavior in a class of…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 M. S. Rudner , L. S. Levitov

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

Quantum shape-phase transitions in finite nuclei are considered in the framework of the interacting boson model. Critical-point Hamiltonians for first- and second-order transitions are identified by resolving them into intrinsic and…

Nuclear Theory · Physics 2008-11-26 A. Leviatan

Dynamical quantum phase transitions are closely related to equilibrium quantum phase transitions for ground states. Here, we report an experimental observation of a dynamical quantum phase transition in a spinor condensate with…

Quantum Gases · Physics 2020-02-20 T. Tian , H. -X. Yang , L. -Y. Qiu , H. -Y. Liang , Y. -B. Yang , Y. Xu , L. -M. Duan

A scheme is presented for realizing frequency-up conversion and a two-qubit quantum swap gate for intracavity fields. In the scheme, a V-type atomic ensemble prepared in their ground states collectively mediates the interaction between the…

Quantum Physics · Physics 2008-07-13 Gong-Wei Lin , Xu-Bo Zou , Ming-Yong Ye , Xiu-Min Lin , Guang-Can Guo

We explore an extended quantum Rabi model describing the interaction between a two-mode bosonic field and a three-level atom. Quantum phase transitions of this few degree of freedom model is found when the ratio $\eta$ of the atom energy…

Quantum Physics · Physics 2020-08-17 Yan Zhang , Bin-Bin Mao , Dazhi Xu , Yu-Yu Zhang , Wen-Long You , Maoxin Liu , Hong-Gang Luo

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2008-09-18 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

When light and matter are weakly coupled, they can be described as two distinctive systems exchanging quanta of energy. By contrast, for very large coupling strength, the systems hybridize and form compounds that cannot be described in…

Quantum Physics · Physics 2021-05-25 Louis Garbe