Phase transitions in an Ising chain interacting with a single mode cavity field

作者: Søren Gammelmark , Klaus Mølmer

DOI: 10.1088/1367-2630/13/5/053035

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摘要: We investigate the thermodynamics of a combined Dicke- and Ising-model which exhibits rich phenomenology arising from second order quantum phase transitions respective models. The partition function is calculated using mean field theory, free energy analyzed in detail to determine complete diagram for system. analysis reveals both first- second-order Dicke into super-radiant state, cavity mean-field this regime acts as an effective magnetic field, restricts Ising chain dynamics parameter ranges away transition. Physical systems with first are natural candidates metrology calibration purposes, we apply filter theory show that sensitivity physical system temperature external fields reaches 1/N Heisenberg limit.

参考文章(36)
Subir Sachdev, Quantum Phase Transitions ,(2001)
Birger Bergersen, Michael Plischke, Equilibrium statistical physics ,(1988)
Maciej Lewenstein, Anna Sanpera, Veronica Ahufinger, Bogdan Damski, Aditi Sen(De), Ujjwal Sen, Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond Advances in Physics. ,vol. 56, pp. 243- 379 ,(2007) , 10.1080/00018730701223200
Klaus Hepp, Elliott H. Lieb, Equilibrium Statistical Mechanics of Matter Interacting with the Quantized Radiation Field Physical Review A. ,vol. 8, pp. 2517- 2525 ,(1973) , 10.1103/PHYSREVA.8.2517
Chiu Fan Lee, Neil F. Johnson, First-order superradiant phase transitions in a multiqubit cavity system. Physical Review Letters. ,vol. 93, pp. 083001- ,(2004) , 10.1103/PHYSREVLETT.93.083001
Immanuel Bloch, Jean Dalibard, Wilhelm Zwerger, Many-Body Physics with Ultracold Gases Reviews of Modern Physics. ,vol. 80, pp. 885- 964 ,(2008) , 10.1103/REVMODPHYS.80.885
Pierre Pfeuty, The one-dimensional Ising model with a transverse field Annals of Physics. ,vol. 57, pp. 79- 90 ,(1970) , 10.1016/0003-4916(70)90270-8
Antonio Negretti, Carsten Henkel, Klaus Mølmer, Quantum fluctuations in the image of a Bose gas Physical Review A. ,vol. 78, pp. 023630- ,(2008) , 10.1103/PHYSREVA.78.023630
D. Porras, J. I. Cirac, Effective quantum spin systems with trapped ions. Physical Review Letters. ,vol. 92, pp. 207901- ,(2004) , 10.1103/PHYSREVLETT.92.207901
Markus Greiner, Olaf Mandel, Tilman Esslinger, Theodor W. Hänsch, Immanuel Bloch, Quantum Phase Transition From a Superfluid to a Mott Insulator in a Gas of Ultracold Atoms Nature. ,vol. 415, pp. 39- 44 ,(2002) , 10.1038/415039A