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We investigate various quantum phase transitions of attractive two-species bosons in a square lattice. Using the algorithm based on the tensor product states, the phase boundaries of the pair superfluid states with nonzero pair condensate…

Strongly Correlated Electrons · Physics 2010-12-24 Pochung Chen , Min-Fong Yang

In contrast to ordinary symmetries, supersymmetry interchanges bosons and fermions. Originally proposed as a symmetry of our universe, it still awaits experimental verification. Here we theoretically show that supersymmetry emerges…

Strongly Correlated Electrons · Physics 2014-05-05 Tarun Grover , D. N. Sheng , Ashvin Vishwanath

This review is focused on various properties of quantum phase transitions (QPTs) in the Interacting Boson Model (IBM) of nuclear structure. The model in its infinite-size limit exhibits shape-phase transitions between spherical, deformed…

Nuclear Theory · Physics 2008-12-18 Pavel Cejnar , Jan Jolie

We study the phase diagram of a topological string-net type lattice model in the presence of geometrically frustrated interactions. These interactions drive several phase transitions that reduce the topological order, leading to a rich…

Statistical Mechanics · Physics 2016-10-12 Marc D. Schulz , Fiona J. Burnell

In this paper a duality between the d=2 Wen-plaquette model in a transverse field and the d=1 Ising model in a transverse field is used to learn the nature of the quantum phase transition (QPT) between a spin-polarized phase and a…

Quantum Physics · Physics 2007-09-17 Jing Yu , Su-Peng Kou , Xiao-Gang Wen

A mixture of two types of hard-sphere bosons in a disk-shaped harmonic trap is studied through path-integral quantum Monte Carlo simulation at low temperature. We find that the system can undergo a phase transition to break the spatial…

Other Condensed Matter · Physics 2009-11-10 Hong Ma , Tao Pang

Until the late 1980s, phases of matter were understood in terms of Landau's symmetry breaking theory. Following the discovery of the quantum Hall effect the introduction of a second class of phases, those with topological order, was…

Strongly Correlated Electrons · Physics 2016-03-09 N. Samkharadze , K. A. Schreiber , G. C. Gardner , M. J. Manfra , E. Fradkin , G. A. Csáthy

We describe a family of phase transitions connecting phases of differing non-trivial topological order by explicitly constructing Hamiltonians of the Levin-Wen[PRB 71, 045110] type which can be tuned between two solvable points, each of…

Strongly Correlated Electrons · Physics 2011-11-01 F. J. Burnell , Steven H. Simon , J. K. Slingerland

Topology is being widely adopted to understand and to categorize quantum matter in modern physics. The nexus of topology orders, which engenders distinct quantum phases with benefits to both fundamental research and practical applications…

Dipolar Bose-Einstein condensates represent a powerful platform for the exploration of quantum many-body phenomena arising from long-range interactions. A series of recent experiments has demonstrated the formation of supersolid states of…

Quantum Gases · Physics 2021-07-14 Yong-Chang Zhang , Thomas Pohl , Fabian Maucher

We consider the ground states, excitations and dynamics of a quasi-two-dimensional binary dipolar Bose-Einstein condensate. Our focus is on the transition to a spin-stripe ground state in which the translational invariance is spontaneously…

Quantum Gases · Physics 2024-02-22 Au-Chen Lee , D. Baillie , P. B. Blakie

The dipole-coupled two-level atoms(qubits) in a single-mode resonant cavity is studied by extended bosonic coherent states. The numerically exact solution is presented. For finite systems, the first-order quantum phase transitions occur at…

Quantum Physics · Physics 2015-05-19 Qing-Hu Chen , Tao Liu , Yu-Yu Zhang , Ke-Lin Wang

We assess experimentally and theoretically the character of the superfluid-supersolid quantum phase transition recently discovered in trapped dipolar quantum gases. We find that one-row supersolids can have already two types of phase…

Quantum Gases · Physics 2024-06-11 G. Biagioni , N. Antolini , A. Alaña , M. Modugno , A. Fioretti , C. Gabbanini , L. Tanzi , G. Modugno

Symmetries are important guiding principle for phase transitions. We systematically construct field theory models with local quantum fields that exhibit the following phase transitions: (1) different symmetry protected topological (SPT)…

Strongly Correlated Electrons · Physics 2025-06-10 Po-Shen Hsin

We present a theory for the emergence of a supersolid state in a cigar-shaped dipolar quantum Bose gas. Our approach is based on a reduced three-dimensional (3D) theory, where the condensate wavefunction is decomposed into an axial field…

Quantum Gases · Physics 2020-12-08 P. B. Blakie , D. Baillie , L. Chomaz , F. Ferlaino

Quantum phase transitions (QPTs) in odd-mass Nb isotopes are investigated in the framework of the interacting boson-fermion model with configuration mixing. A quantum analysis reveals a Type I QPT (gradual shape-evolution within the…

Nuclear Theory · Physics 2025-11-27 A. Leviatan

A supersolid is a fascinating phase of matter, combining the global phase coherence of a superfluid with hallmarks of solids, e.g. a spontaneous breaking of the translational symmetry. Recently, states with such counter-intuitive properties…

The study of continuous phase transitions triggered by spontaneous symmetry breaking has brought revolutionary ideas to physics. Recently, through the discovery of symmetry protected topological phases, it is realized that continuous…

Strongly Correlated Electrons · Physics 2017-04-07 Lokman Tsui , Yen-Ta Huang , Hong-Chen Jiang , Dung-Hai Lee

Anyons in a topologically ordered phase can carry fractional quantum numbers with respect to the symmetry group of the considered system, one example being the fractional charge of the quasiparticles in the fractional quantum Hall effect.…

Strongly Correlated Electrons · Physics 2023-01-18 Michael Schuler , Louis-Paul Henry , Yuan-Ming Lu , Andreas M. Läuchli

We present a theory characterizing the phases emerging as a consequence of continuous symmetry-breaking in quantum and classical systems. In symmetry-breaking phases, dynamics is restricted due to the existence of a set of conserved charges…

Quantum Physics · Physics 2024-09-05 Ángel L. Corps , Jorge Dukelsky , Armando Relaño