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- W2044926086 abstract "We study the details of the U(3)--O(4) quantum phase transition in the U(4) vibron model. Both asymptotic analysis in the classical limit and rigorous calculations for finite boson number systems indicate that a second-order phase transition is still there even for the systems with boson number $N$ ranging from tens to hundreds. Two kinds of effective order parameters, including $E1$ transition ratios $B(E1:{2}_{1}ensuremath{rightarrow}{1}_{1})/B(E1:{1}_{1}ensuremath{rightarrow}{0}_{1})$ and $B(E1:{0}_{2}ensuremath{rightarrow}{1}_{1})/B(E1:{1}_{1}ensuremath{rightarrow}{0}_{1})$, and the energy ratios ${E}_{{2}_{1}}/{E}_{{0}_{2}}$ and ${E}_{{3}_{1}}/{E}_{{0}_{2}}$ are proposed to identify the second-order phase transition in experiments. We also found that the critical point of phase transition can be approximately described by the E(3) symmetry, which persists even for moderate $N~10$ protected by the scaling behaviors of quantities at the critical point. In addition, a possible empirical example exhibiting roughly the E(3) symmetry is discussed." @default.
- W2044926086 created "2016-06-24" @default.
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- W2044926086 date "2008-08-25" @default.
- W2044926086 modified "2023-10-16" @default.
- W2044926086 title "Quantum phase transition in the U(4) vibron model and the E(3) symmetry" @default.
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- W2044926086 doi "https://doi.org/10.1103/physrevc.78.024314" @default.
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