Excitation and Entanglement Transfer Near Quantum Critical Points
arXiv:quant-ph/0608051 · doi:10.1134/S0030400X0707003X
Abstract
Recently, there has been growing interest in employing condensed matter systems such as quantum spin or harmonic chains as quantum channels for short distance communication. Many properties of such chains are determined by the spectral gap between their ground and excited states. In particular this gap vanishes at critical points of quantum phase transitions. In this article we study the relation between the transfer speed and quality of such a system and the size of its spectral gap. We find that the transfer is almost perfect but slow for large spectral gaps and fast but rather inefficient for small gaps.
submitted to Optics and Spectroscopy special issue for ICQO'2006
References in corpus (22)
- Scaling of Entanglement close to a Quantum Phase Transitions
- Quantum Communication Through an Unmodulated Spin Chain
- Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
- Dynamics of a Quantum Phase Transition
- Lieb-Schultz-Mattis in Higher Dimensions
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Universal adiabatic dynamics across a quantum critical point
- Entropy, entanglement, and area: analytical results for harmonic lattice systems
- Diverging Entanglement Length in Gapped Quantum Spin Systems
- Dynamics of Entanglement in One-Dimensional Spin Systems
- Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom
- Solving Gapped Hamiltonians Locally
- Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
- An entanglement-area law for general bosonic harmonic lattice systems
- Locality in Quantum and Markov Dynamics on Lattices and Networks
- Perfect quantum state transfer with randomly coupled quantum chains
- Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
- Entanglement in spin chains and lattices with long-range Ising-type interactions
- Excitation and Entanglement Transfer Versus Spectral Gap
- Dynamical phase transitions and temperature induced quantum correlations in an infinite spin chain
- Decay of Correlations in Fermi Systems at Non-zero Temperature
- Quantum information and triangular optical lattices