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Dimensionality is a fundamental concept in physics, which plays a hidden but crucial role in various domains, including condensed matter physics, relativity and string theory, statistical physics, etc. In quantum physics, reducing…

Non-equilibrium phase transitions exist in damped-driven open quantum systems, when the continuous tuning of an external parameter leads to a transition between two robust steady states. In second-order transitions this change is abrupt at…

Quantum Physics · Physics 2017-02-02 J. M. Fink , A. Dombi , A. Vukics , A. Wallraff , P. Domokos

The relation between the geometric phase and quantum phase transition has been discussed in the Lipkin-Meshkov-Glick model. Our calculation shows the ability of geometric phase of the ground state to mark quantum phase transition in this…

Quantum Physics · Physics 2009-11-13 H. T. Cui , K. Li , X. X. Yi

Kinetics of phase separation transition in boson-fermion cold atom mixtures is investigated. We identify the parameters at which the transition is governed by quantum nucleation mechanism, responsible for the formation of critical nuclei of…

Mesoscale and Nanoscale Physics · Physics 2008-11-24 Dmitry Solenov , Dmitry Mozyrsky

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

Quantum shape-phase transitions in odd-even nuclei are investigated in the framework of the interacting boson-fermion model. Classical and quantum analysis show that the presence of the odd fermion strongly influences the location and…

Nuclear Theory · Physics 2011-10-05 A. Leviatan , D. Petrellis , F. Iachello

The energy spectrum of Dicke Hamiltonians with and without the rotating wave approximation for arbitrary atom-number is obtained analytically with the variational method, in which the effective pseudo-spin Hamiltonian resulted from the…

Quantum Physics · Physics 2012-06-25 Jinling Lian , Yuanwei Zhang , J. -Q. Liang

The concept of quantum phase transitions (QPT) plays a central role in the description of condensed matter systems. In this contribution, we perform high-quality wavefunction-based simulations to demonstrate the existence of a quantum phase…

Quantum Physics · Physics 2023-01-25 Tobias Serwatka , Roger G. Melko , Anton Burkov , Pierre-Nicholas Roy

We analyze the quantum phase transition for a set of $N$-two level systems interacting with a bosonic mode in the adiabatic regime. Through the Born-Oppenheimer approximation, we obtain the finite-size scaling expansion for many physical…

Quantum Physics · Physics 2007-05-23 G. Liberti , F. Plastina , F. Piperno

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

We calculate properties of dipolar interacting ultracold molecules or Rydberg atoms in a semi-synthetic three-dimensional configuration -- one synthetic dimension plus a two-dimensional real space optical lattice or periodic microtrap array…

Phase transitions which occur at zero temperature when some non-thermal parameter like pressure, chemical composition or magnetic field is changed are called quantum phase transitions. They are caused by quantum fluctuations which are a…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta

We propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift with atoms in a cavity. In the scheme the atoms interact simultaneously with a highly detuned cavity mode and a classical field. The…

Quantum Physics · Physics 2012-02-27 Shi-Biao Zheng

In this chapter we discuss aspects of the quantum critical behavior that occurs at a quantum phase transition separating a topological phase from a conventionally ordered one. We concentrate on a family of quantum lattice models, namely…

Strongly Correlated Electrons · Physics 2015-05-14 Claudio Castelnovo , Simon Trebst , Matthias Troyer

We give a general introduction to quantum phase transitions in strongly-correlated electron systems. These transitions which occur at zero temperature when a non-thermal parameter $g$ like pressure, chemical composition or magnetic field is…

Strongly Correlated Electrons · Physics 2009-11-07 M. Lavagna

Strange metal behavior arises in heavy fermion metals close to antiferromagnetic transitions. An increasing amount of experiments indicates a link of such behavior to a Kondo breakdown quantum critical point. To shed light on this…

Strongly Correlated Electrons · Physics 2020-09-23 Jiangfan Wang , Yung-Yeh Chang , Chung-Yu Mou , Stefan Kirchner , Chung-Hou Chung

Quantum phase transitions encompass a variety of phenomena that occur in quantum systems exhibiting several possible symmetries. Traditionally, these transitions are explored by continuously varying a control parameter that connects two…

Quantum Physics · Physics 2024-06-12 Á. Sáiz , J. Khalouf-Rivera , J. M. Arias , P. Pérez-Fernández , J. Casado-Pascual

In their ground states, atomic nuclei are quantum Fermi liquids. At finite temperatures and low densities, these nuclei may undergo a phase change similar to, but substantially different from, a classical liquid gas phase transition. As in…

Nuclear Experiment · Physics 2008-11-26 A. Bonasera , Z. Chen , R. Wada , K. Hagel , J. Natowitz , P. Sahu , L. Qin , S. Kowalski , Th. Keutgen , T. Materna , T. Nakagawa

We study the structure of the phase diagram for systems consisting of 2- and 3- level particles dipolarly interacting with a 1-mode electromagnetic field, inside a cavity, paying particular attention to the case of a finite number of…

Quantum Physics · Physics 2015-02-04 Eduardo Nahmad-Achar , Sergio Cordero , Octavio Castaños , Ramón López-Peña

We have constructed a general theory describing the topological quantum phase transitions in 3D systems with broken inversion symmetry. While the consideration of the system's codimension generally predicts the appearance of a stable…

Strongly Correlated Electrons · Physics 2015-06-05 Bohm-Jung Yang , Mohammad Saeed Bahramy , Ryotaro Arita , Hiroki Isobe , Eun-Gook Moon , Naoto Nagaosa