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Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems.

Publication ,  Journal Article
Hwang, M-J; Plenio, MB
Published in: Physical review letters
September 2016

Phase transitions are commonly held to occur only in the thermodynamical limit of a large number of system components. Here, we exemplify at the hand of the exactly solvable Jaynes-Cummings (JC) model and its generalization to finite JC lattices that finite component systems of coupled spins and bosons may exhibit quantum phase transitions (QPTs). For the JC model we find a continuous symmetry-breaking QPT, a photonic condensate with a macroscopic occupation as the ground state, and a Goldstone mode as a low-energy excitation. For the two site JC lattice we show analytically that it undergoes a Mott-insulator to superfluid QPT. We identify as the underlying principle of the emergence of finite system QPTs the combination of increasing atomic energy and increasing interaction strength between the atom and the bosonic mode, which allows for the exploration of an increasingly large portion of the infinite dimensional Hilbert space of the bosonic mode. This suggests that finite system phase transitions will be present in a broad range of physical systems.

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Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

September 2016

Volume

117

Issue

12

Start / End Page

123602

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

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Hwang, M.-J., & Plenio, M. B. (2016). Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems. Physical Review Letters, 117(12), 123602. https://doi.org/10.1103/physrevlett.117.123602
Hwang, Myung-Joong, and Martin B. Plenio. “Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems.Physical Review Letters 117, no. 12 (September 2016): 123602. https://doi.org/10.1103/physrevlett.117.123602.
Hwang M-J, Plenio MB. Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems. Physical review letters. 2016 Sep;117(12):123602.
Hwang, Myung-Joong, and Martin B. Plenio. “Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems.Physical Review Letters, vol. 117, no. 12, Sept. 2016, p. 123602. Epmc, doi:10.1103/physrevlett.117.123602.
Hwang M-J, Plenio MB. Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems. Physical review letters. 2016 Sep;117(12):123602.

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

September 2016

Volume

117

Issue

12

Start / End Page

123602

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences