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International Conference on Quantum Information

Coherence stability for a three-level system

Luis Roa, A. Krügel

Published Jan 1, 2007• 0 citations
Publisher

Abstract

We have found, for a specific model of interaction, an expression which allows us to estimate the time scale order of magnitude for which the decoherence instability of a quantum state is onset. We study the stability of the coherence of a pure state for a three level quantum system under the effect of an interaction with a set of boson systems and driven by two Raman classical fields. Evaluating the order of magnitude of the decoherence time scale and assuming the boson systems to be in thermal states, we find for a symmetric V -system a set of three states stable against decoherence and, for a symmetric cascade-system we find a bidimensional subspace whose states are stable against the considered decoherence mechanism.

DOI
10.1364/icqi.2007.jwc52

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We have found, for a specific model of interaction, an expression which allows us to estimate the time scale order of magnitude for which the decoherence instability of a quantum state is onset. We study the stability of the coherence of a pure state for a three level quantum system under the effect of an interaction with a set of boson systems and driven by two Raman classical fields. Evaluating the order of magnitude of the decoherence time scale and assuming the boson systems to be in thermal states, we find for a symmetric V -system a set of three states stable against decoherence and, for a symmetric cascade-system we find a bidimensional subspace whose states are stable against the considered decoherence mechanism.
We study the stability of the coherence of a state of a quantum system under the effect of an interaction with another quantum system at short time. We find an expression for evaluating the order of magnitude of the time scale for the onset of instability as a function of the initial state of both involved systems and of the sort of interaction between them. As an application we study the spin-boson interaction in the dispersive interaction regime, driven by a classical field. We find, for this model, that the behavior of the time scale for the onset of instability, with respect to the boson bath temperature, changes depending on the intensity of the classical field.
We study the quantum dynamics of an open network of two-level systems which is coupled to a correlated common environment represented by a bosonic field in a thermal equilibrium state. Extensive numerical simulations of the full second-order time-convolutionless quantum master equation for the density matrix of various types of networks are performed, in order to investigate dissipation and decoherence processes and, in particular, their dependence on the spatial separation of the network sites and on the speed of the bosonic field modes. In the limit of an infinite speed the influence of the environment disappears due to the emergence of a decoherence-free subspace, while the limit of zero speed corresponds to the case in which the network sites are coupled to independent reservoirs, a case which is much easier to treat numerically. The main result of the paper is a general intuitive criterion which states that the simpler model of independent reservoirs can be used as long as the network relaxation time is smaller than the time it takes for the modes to travel the minimal distance between the network sites.
The scaling of decoherence rates with qubit number N is studied for a simple model of a quantum computer in the situation where N is large. The two state qubits are localized around well-separated positions via trapping potentials and vibrational centre of mass motion of the qubits occurs. Coherent one and two qubit gating processes are controlled by external classical fields and facilitated by a cavity mode ancilla. Decoherence due to qubit coupling to a bath of spontaneous modes, cavity decay modes and to the vibrational modes is treated. A non-Markovian treatment of the short time behaviour of the fidelity is presented, and expressions for the characteristic decoherence time scales obtained for the case where the qubit/cavity mode ancilla is in a pure state and the baths are in thermal states. Specific results are given for the case where the cavity mode is in the vacuum state and gating processes are absent and the qubits are in (a) the Hadamard state (b) the GHZ state.
Here is the narration for the MERLIN SCIENCE video: The finding, in one clean sentence: A phi-scaled E8 lattice, driven at 132 hertz, produces a resonant cascade that stabilizes a macroscopic quantum memory with decoherence times extended by two orders of magnitude. For the field context, we are at the intersection of topological quantum computation and quasicrystalline order. The challenge has always been scale: topological protection works beautifully at microscopic levels but degrades rapidly as systems grow. We have been searching for a structural principle that can maintain coherence across macroscopic domains, and this work proposes that the golden ratio, embedded in the E8 root system, provides that principle. Here is the mechanism, faithful to the source. The protocol uses phi-scaled E8's 240 root vectors driven at 132 Hz. This drive induces a higher-order resonance cascade, which creates a self-sustaining potential well. That well locks quasicrystalline domains into a reve Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
The necessary and sufficient conditions for the stability of adiabatic states in three-level quantum systems are investigated analytically and numerically. Various possible configurations of three-level systems under exact two-photon resonance are considered. It is shown that in all these schemes, the lifetime of the studied states is determined by the dephasing time between levels that are not connected by a dipole transition. An efficient population transfer through the b-state at room temperature is demonstrated despite relatively long relaxation times. It is also demonstrated that, in case of large one-photon detuning, the so-called b-state has the same lifetime as that of the dark state. The evolution of adiabatic states for arbitrary values of single-photon detunings has been studied numerically.
This dissertation describes a study of Raman coherence effects using superconducting quantum circuits. Raman coherence can occur in a three-level system driven by two coherent electromagnetic fields. In a suitable system with a metastable state, the effect is typically manifest as coherent population trapping (CPT) and electromagnetically induced transparency (EIT). I derive the theoretical framework and show experimentally that in the case of a cascade three-level system based on transmon superconducting qubit states, an effect known as the Autler-Townes doublet (ATD), rather than CPT or EIT, occurs. I propose, model, and implement a quasi- system made of combined transmon-cavity levels, which has a meta-stable state required for CPT and EIT. I measure CPT, and demonstrate coherence of the dark state in the time domain. Instead of EIT, I observe a new phenomenon – electromagnetically suppressed transmission (EST). The large negative dispersion accompanying EST leads to superluminal pulse propagation in the system. My results suggest that quantum superconducting circuits provide a viable platform for studying quantum optics of multi-level systems.