Symmetry protected topological phases in two dimensions. This tensor-network solvable model can also be used to describe transitionsīetween SET double-semion phases and between $\mathbb_2^T$ Partition function of the classical $O(2)$ model. Model has an enhanced $U(1)$ symmetry and the ground state is a quantumĬritical loop gas wavefunction whose squared norm is equivalent to the Phase boundary between the SET toric code phase and the toric code phase, the ![]() WeĬharacterize the different phases using the topological entanglement entropyĪnd a membrane order parameter that distinguishes the two SET phases. Trivial phase that is adiabatically connected to a product state. Toric code phase in which anyons transform non-trivially under TR, (ii) a toricĬode phase in which TR does not fractionalize, and (iii) a topologically Time-reversal (TR) symmetric system exhibits three distinct phases (i) an SET With bond dimension $D=3$ and two tunable parameters. The ground state can be expressed as a two-dimensional tensor-network state A freeware 2D clone of the well known game Counter-Strike OS. Downloads / User Rating Counter-Strike 2D 1.0.1.3. In this work, we propose a tensor-network solvable model thatĪllows us to tune between different symmetry enriched topological (SET) phases.Ĭoncretely, we consider a decorated two-dimensional toric code model for which Download free PC / computer Games: Counter str. Download a PDF of the paper titled Quantum phase transition between symmetry enriched topological phases in tensor-network states, by Lukas Haller and 3 other authors Download PDF Abstract: Quantum phase transitions between different topologically ordered phasesĮxhibit rich structures and are generically challenging to study in microscopic
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