Difference between revisions of "Arxiv Selection Mar 2019"
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of fermionic flux insertion and bosonic background charge insertion for two-dimensional conformal | of fermionic flux insertion and bosonic background charge insertion for two-dimensional conformal | ||
field theory | field theory | ||
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| + | ==Mar 2== | ||
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| + | arXiv:1902.09747 [pdf, ps, other] | ||
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| + | Imaginary time crystal of quantum gases | ||
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| + | Zi Cai, Yizhen huang, W. Vincent Liu | ||
| + | |||
| + | Subjects: Quantum Gases (cond-mat.quant-gas) | ||
| + | |||
| + | Floquet or discrete time crystal was predicted as a form of super-crystallization from the “periodic” | ||
| + | time lattice of varying Hamiltonians. Subsequent experiments of trapped ions and nitrogen-vacancy | ||
| + | centers discovered it. However, whether such a phase can emerge from time continuum, as originally | ||
| + | introduced, remains an open question because of the no-go theorem on quantum mechanical ground | ||
| + | state. Here we report that by relaxing the scope to open quantum systems, time crystalline ordering | ||
| + | can emerge spontaneously by breaking continuous translational symmetry in imaginary time dual | ||
| + | space due to retarded interaction induced by thermal bath. Quantum Monte Carlo simulation is | ||
| + | performed to calculate a time order parameter and previously unknown “time” excitation response | ||
| + | functions from the Euclidean action. | ||
Revision as of 05:09, 3 March 2019
Mar 1-Mar 7 Zehan Li, Mar 8-Mar 14 Jiansong Pan, Mar 15-Mar 21 Ahmet Keles, Mar 22- Mar 28 Haiping Hu
Mar 1
arXiv:1902.06584 (cross-list from cond-mat.str-el) [pdf, ps, other]
Bosonization with background U(1) gauge field
Yuan Yao, Yoshiki Fukusumi
Comments: 9 pages, 8 figures
Subjects: Strongly Correlated Electrons (cond-mat.str-el); Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
Bosonization is one of the most significant frameworks to analyze fermionic systems. In this work, we propose a new bosonization of Dirac fermion coupled with U(1) background gauge field consistent with gauge invariance, global chiral anomaly matching and fermion-boson operator correspondence, either of which is not satisfied by previously developed bosonizations. The bilinear Dirac-mass term condensation paradox and its generalized form are resolved by our bosonization. This new bosonization approach to interacting systems also correctly captures the conformal characters of a significant class of critical lattice models, such as conformal dimensions and conformal anomaly of XXZ spin chain with twisted boundary condition. Our work clarifies the equivalence of fermionic flux insertion and bosonic background charge insertion for two-dimensional conformal field theory
Mar 2
arXiv:1902.09747 [pdf, ps, other]
Imaginary time crystal of quantum gases
Zi Cai, Yizhen huang, W. Vincent Liu
Subjects: Quantum Gases (cond-mat.quant-gas)
Floquet or discrete time crystal was predicted as a form of super-crystallization from the “periodic” time lattice of varying Hamiltonians. Subsequent experiments of trapped ions and nitrogen-vacancy centers discovered it. However, whether such a phase can emerge from time continuum, as originally introduced, remains an open question because of the no-go theorem on quantum mechanical ground state. Here we report that by relaxing the scope to open quantum systems, time crystalline ordering can emerge spontaneously by breaking continuous translational symmetry in imaginary time dual space due to retarded interaction induced by thermal bath. Quantum Monte Carlo simulation is performed to calculate a time order parameter and previously unknown “time” excitation response functions from the Euclidean action.
