Comments on: Hamiltonian: An American Musical (without Americana or music) https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/ A blog by the Institute for Quantum Information and Matter @ Caltech Mon, 13 Sep 2021 03:30:53 +0000 hourly 1 http://wordpress.com/ By: My 100th anniversary with Quantum Frontiers | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-149058 Mon, 13 Sep 2021 03:30:53 +0000 http://quantumfrontiers.com/?p=9096#comment-149058 […] thermodynamics. Caltech bridged my research to the real physical world: condensed matter; atomic molecular, and optical physics; and chemistry. The transformation continued during my […]

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By: A quantum walk down memory lane | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-144338 Mon, 27 Jul 2020 00:11:53 +0000 http://quantumfrontiers.com/?p=9096#comment-144338 […] operation, such as one quantum logical gate. (Experts: The rest of the machine evolves under one Hamiltonian.) When the clock is in another state, the rest of the machine undergoes another operation (evolves […]

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By: Up we go! or From abstract theory to experimental proposal | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-143613 Mon, 01 Jun 2020 00:22:27 +0000 http://quantumfrontiers.com/?p=9096#comment-143613 […] flower. The rest of the qubits form the large system, analogous to the air. I constructed a Hamiltonian—a matrix that dictates how the qubits evolve—that transfers quanta of all the spin’s […]

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By: Quantum steampunk invades Scientific American | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-143078 Mon, 20 Apr 2020 12:21:45 +0000 http://quantumfrontiers.com/?p=9096#comment-143078 […] for Quantum Information and Matter. Our engine is a many-particle system ratcheted between two phases accessible to quantum matter, analogous to liquid and solid. The engine can be realized with, e.g., ultracold atoms or trapped […]

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By: The quantum steampunker by Massachusetts Bay | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-141164 Mon, 28 Oct 2019 00:02:25 +0000 http://quantumfrontiers.com/?p=9096#comment-141164 […] quantum baked beans that exchange heat with a temperature- environment. Let denote the system’s Hamiltonian, which basically represents the beans’ energy. The beans equilibrate to a quantum Gibbs state, . […]

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By: What distinguishes quantum thermodynamics from quantum statistical mechanics? | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-140361 Mon, 22 Jul 2019 02:29:46 +0000 http://quantumfrontiers.com/?p=9096#comment-140361 […] nonlocal operations. Another example is the “MBL-mobile” that I designed with collaborators. Many-body localization (MBL), we found, can enhance an engine’s reliability and […]

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By: I get knocked down… | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-112284 Mon, 20 Aug 2018 00:12:25 +0000 http://quantumfrontiers.com/?p=9096#comment-112284 […] experimentalist must perform the quantum analog of inverting particles’ momenta. One must negate the Hamiltonian , the observable that governs how the system evolves: […]

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By: Catching up with the quantum-thermo crowd | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-93490 Mon, 16 Apr 2018 02:59:25 +0000 http://quantumfrontiers.com/?p=9096#comment-93490 […] the system’s energy strongly, and call the outcome . Isolate the system from the reservoir. Tune the Hamiltonian, performing the quantum equivalent of propelling the London train up a hill. Measure the energy, […]

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By: Rock-paper-scissors, granite-clock-idea | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-90840 Mon, 19 Mar 2018 03:03:09 +0000 http://quantumfrontiers.com/?p=9096#comment-90840 […] is conjugate to time: Hamiltonians, mathematical objects that represent energy, represent also translations through time. We measure […]

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By: The Ground Space of Babel | Quantum Frontiers https://quantumfrontiers.com/2017/01/31/hamiltonian-an-american-musical-without-americana-or-music/comment-page-1/#comment-88401 Mon, 19 Feb 2018 04:03:19 +0000 http://quantumfrontiers.com/?p=9096#comment-88401 […] A Hamiltonian is an observable, a measurable property. Consider a quantum system S, such as a set of particles hopping between atoms. We denote the system’s Hamiltonian by H. H determines how the system’s state changes in time. A musical about H swept Broadway last year. […]

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