Decoherence in a dynamical quantum phase transition of the transverse Ising chain

2007/03/31 by Sarah Mostame, Gernot Schaller, Ralf Schützhold
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #quant-ph

paper · pdf · doi:10.1103/physreva.76.030304

published as Physical Review A 76, 030304(R), 2007 · 4 pages, 1 figure, minor clarifications

openalex publication_date 2007/09/14 · arxiv created 2007/09/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the prototypical example of the Ising chain in a transverse field, we study the impact of decoherence on the sweep through a second-order quantum phase transition. Apart from the advance in the general understanding of the dynamics of quantum phase transitions, these findings are relevant for adiabatic quantum algorithms due to the similarities between them. It turns out that (in contrast to first-order transitions studied previously) the impact of decoherence caused by a weak coupling to a rather general environment increases with system size (i.e., number of spins or qubits), which might limit the scalability of the system.

Citations

• Sweeping from the Superfluid to the Mott Phase in the Bose-Hubbard Model
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Adiabatic quantum algorithms as quantum phase transitions: first versus second order
• Quench dynamics across quantum critical points
• Two soluble models of an antiferromagnetic chain
• Quantum Search by Local Adiabatic Evolution