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We derive an exact renormalization group recursion relation for the Loschmidt amplitude of the quantum $Q$-state clock model and the quantum $Q$-state Potts model in one dimension.
1903
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2014
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Valentin Zauner-Stauber and Jad C. Halimeh, “Probing the anomalous dynamical phase in long-range quantum spin chains through fisher-zero lines,” Phys. Rev. E 96
2017
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Tomoyuki Obuchi, Sei Suzuki, and Kazutaka Takahashi, “Complex semiclassical analysis of the loschmidt amplitude and dynamical quantum phase transitions,” Phys. Rev. B 95
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Markus Heyl, “Scaling and universality at dynamical quantum phase transitions,” Phys. Rev. Lett. 115
2015
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Uma Divakaran, Shraddha Sharma, and Amit Dutta, “Tuning the presence of dynamical phase transitions in a generalized x y xy spin chain,” Phys. Rev. E 93
2016
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Shraddha Sharma, Uma Divakaran, Anatoli Polkovnikov, and Amit Dutta, “Slow quenches in a quantum ising chain: Dynamical phase transitions and topology,” Phys. Rev. B 93
2016
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A. A. Zvyagin, “Dynamical quantum phase transitions (review article),” Low Temperature Physics 42
2016
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Jad C. Halimeh and Valentin Zauner-Stauber, “Dynamical phase diagram of quantum spin chains with long-range interactions,” Phys. Rev. B 96
2017
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C. Karrasch and D. Schuricht, “Dynamical quantum phase transitions in the quantum potts chain,” Phys. Rev. B 95
2017
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T Sowa and C Kaiser, Www.ttmath.org
Cited in the paper.
Johannes Lang, Bernhard Frank, and Jad C. Halimeh, “Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field ising model,” Phys. Rev. B 97
2018
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Bojan Žunkovič, Markus Heyl, Michael Knap, and Alessandro Silva, “Dynamical quantum phase transitions in spin chains with long-range interactions: Merging different concepts of nonequilibrium criticality,” Phys. Rev. Lett. 120
2018
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Sourav Bhattacharjee and Amit Dutta, “Dynamical quantum phase transitions in extended transverse ising models,” Phys. Rev. B 97
2018
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Markus Heyl, “Dynamical quantum phase transitions: a review,” Reports on Progress in Physics 81
2018
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Nicolò Defenu, Tilman Enss, and Jad C. Halimeh, “Dynamical criticality and domain-wall coupling in long-range hamiltonians,” Phys. Rev. B 100
2019
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Markus Heyl, “Dynamical quantum phase transitions: A brief survey,” EPL (Europhysics Letters) 125
2019
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Victor Gurarie, “Dynamical quantum phase transitions in the random field ising model,” Phys. Rev. A 100
2019
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