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We show that the single-mode parafermionic type systems possess supersymmetry, which is based on the symmetry of characteristic functions of the parafermions related to the generalized deformed oscillator of Daskaloyannis et al. The…

High Energy Physics - Theory · Physics 2016-09-06 Sergei Klishevich , Mikhail Plyushchay

Discoveries of ordered quantum states of matter are of great fundamental interest, and often lead to unique applications. The most well known example -- superconductivity -- is caused by the formation and condensation of pairs of electrons.…

Fractonic superfluids are exotic phases of matter in which bosons are subject to mobility constraints, resulting in features beyond those of conventional superfluids. These exotic phases arise from the spontaneous breaking of higher-rank…

Strongly Correlated Electrons · Physics 2023-08-15 Shuai A. Chen , Peng Ye

Any {\it exact} eigenstate with a definite momentum of a many-body Hamiltonian can be written as an integral over a {\it symmetry-broken} function $\Phi$. For two particles, we solve the problem {\it exactly} for all energy levels and any…

Quantum Physics · Physics 2009-11-10 Ofir E. Alon , Alexej I. Streltsov , Lorenz S. Cederbaum

The original Jaynes-Cummings model is described by a Hamiltonian which is exactly solvable. Here we extend this model by several types of interactions leading to a nonhermitian operator which doesn't satisfy the physical condition of…

Quantum Physics · Physics 2009-11-11 Y. Brihaye , A. Nininahazwe

Spontaneous symmetry breaking in systems with symmetry is a cornerstone phenomenon accompanying second-order phase transitions. Here, we predict the opposite phenomenon, namely, spontaneous symmetry emergence in a system that lacks…

Quantum Physics · Physics 2025-05-21 T. T. Sergeev , E. S. Andrianov , A. A. Zyablovsky

We present fermionic model based on symmetric resonant tunneling heterostructure, which demonstrates spontaneous symmetry breaking in respect to combined operations of space inversion (P) and time reversal (T). PT-symmetry breaking…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 A. A. Gorbatsevich , N. M. Shubin

Many body models undergoing a quantum phase transition to a broken-symmetry phase that survives up to a critical temperature must possess, in the ordered phase, symmetric as well as non-symmetric eigenstates. We predict, and explicitly show…

Strongly Correlated Electrons · Physics 2015-06-11 Giacomo Mazza , Michele Fabrizio

We formulate a continuum quantum mechanics for non-relativistic, dipole-conserving fractons. Imposing symmetries and locality results in novel phenomena absent in ordinary quantum mechanical systems. A single fracton has a vanishing…

Strongly Correlated Electrons · Physics 2025-10-02 Ylias Sadki , Abhishodh Prakash , S. L. Sondhi

Engineering long-range interactions in experimental platforms has been achieved with great success in a large variety of quantum systems in recent years. Inspired by this progress, we propose a generalization of the classical Hamiltonian…

Statistical Mechanics · Physics 2022-09-15 Harald Schmid , Johannes Dieplinger , Andrea Solfanelli , Sauro Succi , Stefano Ruffo

Detailed description of nuclei necessitates model Hamiltonians which break most dynamical symmetries. Nevertheless, generalized notions of partial and quasi dynamical symmetries may still be applicable to selected subsets of states, amidst…

Nuclear Theory · Physics 2015-12-15 A. Leviatan , M. Macek

We consider the phenomenon of forced symmetry breaking in a symmetric Hamiltonian system on a symplectic manifold. In particular we study the persistence of an initial relative equilibrium subjected to this forced symmetry breaking. We see…

Dynamical Systems · Mathematics 2009-09-29 Féthi Grabsi , James Montaldi , Juan-Pablo Ortega

The realistic free fermionic models have had remarkable success in providing plausible explanations for various properties of the Standard Model which include the natural appearance of three generations, the explanation of the heavy top…

High Energy Physics - Theory · Physics 2008-11-26 Alon E. Faraggi

We investigate the spontaneous breaking of subsystem symmetry in a stack of two-dimensional Fermi liquid metals, each maintaining a subsystem number conservation symmetry, driven by interlayer exciton condensation. The resulting Goldstone…

Strongly Correlated Electrons · Physics 2025-06-16 Archisman Panigrahi , Ajesh Kumar

Quantum many-body systems exhibit an extremely diverse range of phases and physical phenomena. Here, we prove that the entire physics of any other quantum many-body system is replicated in certain simple, "universal" spin-lattice models. We…

Quantum Physics · Physics 2019-10-07 Toby Cubitt , Ashley Montanaro , Stephen Piddock

Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we show that the nonequilibrium steady state, constructed in the quasifree fermionic system corresponding…

Mathematical Physics · Physics 2016-09-22 Walter H. Aschbacher

In a quantum many-body system coupled to the environment, its steady state can exhibit spontaneous symmetry breaking when a control parameter exceeds a critical value. In this study, we consider spontaneous symmetry breaking in non-steady…

Quantum Physics · Physics 2023-05-12 Taiki Haga

We study statistical characterization of the many-body states in the exactly solvable model with internal degree of freedom in more than one dimension. The model exhibits the Mott metal-insulator transition. It is shown that the ground…

Condensed Matter · Physics 2019-08-17 Yasuhiro Hatsugai , Mahito Kohmoto , Tohru Koma , Yong-Shi Wu

The Hubbard model is reformulated in terms of different ``colored'' fermion species for the electrons or holes at different lattice sites. Antiferromagnetic ordering or d-wave superconductivity can then be described in terms of…

Strongly Correlated Electrons · Physics 2009-10-31 Tobias Baier , Eike Bick , Christof Wetterich

We consider an O(N) symmetric scalar field model in the mean field (Hartree) approximation and show that the symmetry can be broken in de Sitter space. We find that the phase transition can be of first order, and that its strength depends…

General Relativity and Quantum Cosmology · Physics 2013-04-02 Tomislav Prokopec