Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems

Abstract

Phase transitions are commonly held to occur only in the thermodynamical limit of 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 (QPT). 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 size QPT 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.

5 pages, 3 figures

References in corpus (10)

• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• On the phase transition of light in cavity QED lattices
• Quantum phase transition in the Dicke model with critical and non-critical entanglement
• Variational study of a two-level system coupled to a harmonic oscillator in a ultrastrong coupling regime
• Migration of bosonic particles across a Mott insulator to superfluid phase interface

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