Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
arXiv:1406.4093 · doi:10.1103/PhysRevB.90.205118
Abstract
We consider two quantum dots described by the Anderson-impurity model with one electron per dot. The goal of our work is to study the decay of a maximally entangled state between the two electrons localized in the dots. We prepare the system in a perfect singlet and then tunnel-couple one of the dots to leads, which induces the non-equilibrium dynamics. We identify two cases: if the leads are subject to a sufficiently large voltage and thus a finite current, then direct tunneling processes cause decoherence and the entanglement as well as spin correlations decay exponentially fast. At zero voltage or small voltages and beyond the mixed-valence regime, virtual tunneling processes dominate and lead to a slower loss of coherence. We analyze this problem by studying the real-time dynamics of the spin correlations and the concurrence using two techniques, namely the time-dependent density matrix renormalization group method and a master-equation method. The results from these two approaches are in excellent agreement in the direct-tunneling regime for the case in which the dot is weakly tunnel-coupled to the leads. We present a quantitative analysis of the decay rates of the spin correlations and the concurrence as a function of tunneling rate, interaction strength, and voltage.
arXiv comment16 pages, 11 figures, revised version as published
References in corpus (88)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Quantum Computation with Quantum Dots
- Mixed State Entanglement and Quantum Error Correction
- The density-matrix renormalization group in the age of matrix product states
- The density-matrix renormalization group
- Entanglement of a Pair of Quantum Bits
- Kondo Physics in a Single Electron Transistor
- Efficient simulation of one-dimensional quantum many-body systems
- A Tunable Kondo Effect in Quantum Dots
- The numerical renormalization group method for quantum impurity systems
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Coupled quantum dots as quantum gates
- Real time evolution using the density matrix renormalization group
- Heralded entanglement between solid-state qubits separated by 3 meters
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- Sudden Death of Entanglement
- Electron transmission through molecules and molecular interfaces
- Electron spin relaxation by nuclei in semiconductor quantum dots
- Open Quantum Systems. An Introduction
- Light-cone-like spreading of correlations in a quantum many-body system
- Transport measurements across a tunable potential barrier in graphene
- Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
- Kondo effect in an integer-spin quantum dot
- Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
- Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
- Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
- Microscopic derivation of rate equations for quantum transport
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Carbon Nanotubes as Cooper Pair Beam Splitters
- Observation of the two-channel Kondo effect
- Stochastic wave function method for non-Markovian quantum master equations
- Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
- Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
- Probing Entanglement and Non-locality of Electrons in a Double-Dot via Transport and Noise
- Markovian Master Equations: A Critical Study
- Electron spin evolution induced by interaction with nuclei in a quantum dot
- Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
- Quantum master equation for electron transport through quantum dots and single molecules
- Non-Markovian quantum state diffusion: Perturbation approach
- Foundations and Measures of Quantum Non-Markovianity
- Recipes for spin-based quantum computing
- Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
- Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
- Finite bias Cooper pair splitting
- Quantum master equation approach to quantum transport through mesoscopic systems
- SU(4) Kondo Effect in Carbon Nanotubes
- Decoherence and lead induced inter-dot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation approach
- The Physics of Kondo Impurities in Graphene
- Observation of the SU(4) Kondo state in a double quantum dot
- Time evolution of correlations in strongly interacting fermions after a quantum quench
- Electron Entanglement via a Quantum Dot
- Tunneling through nanosystems: Combining broadening with many-particle states
- Comparative study of theoretical methods for nonequilibrium quantum transport
- Scaling theory of the Kondo screening cloud
- Dynamics, Synchronization and Quantum Phase Transitions of Two Dissipative Spins
- SU(4) and SU(2) Kondo Effects in Carbon Nanotube Quantum Dots
- Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots
- Entanglement versus Quantum Discord in Two Coupled Double Quantum Dots
- Non-equilibrium electronic transport in a one-dimensional Mott insulator
- Transport properties and Kondo correlations in nanostructures: the time-dependent DMRG method applied to quantum dots coupled to Wilson chains
- Applying Adaptive Time-Dependent DMRG to Calculate the Conductance of Strongly Correlated Nanostructures
- Kondo screening cloud in the single-impurity Anderson model: A density matrix renormalization group study
- Entanglement between charge qubits induced by a common dissipative environment
- Pseudospin-Resolved Transport Spectroscopy of the Kondo Effect in a Double Quantum Dot
- Dynamical Coulomb blockade and spin-entangled electrons
- Time-dependent DMRG Study on Quantum Dot under a Finite Bias Voltage
- Entanglement creation in a quantum dot-nanocavity system
- Detecting entanglement using a double quantum dot turnstile
- Dynamics and decoherence in the central spin model in the low-field limit
- Spin-noise in the anisotropic central spin model
- Spatiotemporal buildup of the Kondo screening cloud
- Spatial and temporal propagation of Kondo correlations
- The Kondo Screening Cloud around a Quantum Dot: Large-scale numerical Results
- New Numerical Results Indicate a Half-Filling SU(4) Kondo State in Carbon Nanotubes
- Spin-orbital Kondo effect in a parallel double quantum dot
- Transport in Carbon Nanotubes: 2LSU(2) regime reveals subtle competition between Kondo and Intermediate Valence states
- Time-dependent transport in open systems based on quantum master equations
- Transport through quantum dots: A combined DMRG and cluster-embedding study
- Inducing spin-correlations and entanglement in a double quantum dot through non-equilibrium transport
- Numerical method for non-linear steady-state transport in one-dimensional correlated conductors
- Nonequilibrium conductance through a benzene molecule in the Kondo regime
- Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
- Real-space structure of the impurity screening cloud in the Resonant Level Model
- Generation of Spin Entanglement in Nonequilibrium Quantum Dots
- Steady-state and quench dependent relaxation of a quantum dot coupled to one-dimensional leads
- Generation and detection of a spin entanglement in nonequilibrium quantum dots
- Transport through two interacting resonant levels connected by a Fermi sea