Quantum simulation of Kibble-Zurek mechanism with a semiconductor electron charge qubit
arXiv:1301.5534 · doi:10.1103/PhysRevA.89.022337
Abstract
The Kibble-Zurek mechanism provides a description of the topological structure occurring in the symmetry breaking phase transitions, which may manifest as the cosmological strings in the early universe or vortex lines in the superfulid. A particularly intriguing analogy between Kibble-Zurek mechanism and a text book quantum phenomenon, Landau-Zener transition has been discovered, but is difficult to observe up to now. In recent years, there has been broad interest in quantum simulations using different well-controlled physical setups, in which full tunability allows access to unexplored parameter regimes. Here we demonstrate a proof-of-principle quantum simulation of Kibble-Zurek mechanism using a single electron charge qubit in double quantum dot, set to behave as Landau-Zener dynamics. We measure the qubit states as a function of driven pulse velocity and successfully reproduce Kibble-Zurek like dependence of topological defect density on the quench rate. The high-level controllability of semiconductor two-level system make it a platform to test the key elements of topological defect formation process and shed a new insight on the aspect of non-equilibrium phase transitions.
14 pages, 4 figures
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- Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
- Full Counting Statistics of Topological Defects After Crossing a Phase Transition
- Integrable time-dependent quantum Hamiltonians
- Solvable multistate model of Landau-Zener transitions in cavity QED
- Solvable 4-state Landau-Zener model of two interacting qubits with path interference
- Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems
- Multistate Landau-Zener models with all levels crossing at one point
- Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition
- Consequences of integrability breaking in quench dynamics of pairing Hamiltonians
- Defect production in nonequilibrium phase transitions: Experimental investigation of the Kibble-Zurek mechanism in a two-qubit quantum simulator
- Experimental validation of the Kibble-Zurek Mechanism on a Digital Quantum Computer