Feynman's Clock for open quantum systems

Abstract

We show that Feynman's Clock construction, in which the time-evolution of a closed quantum system is encoded as a ground state problem, can be extended to open quantum systems. In our formalism, the ground states of an ensemble of non-Hermitian Feynman Clock Hamiltonians yield stochastic trajectories, which unravel the evolution of a Lindblad master equation. In this way, one can use Feynman's Clock not only to simulate the evolution of a quantum system, but also it's interaction with an environment such as a heat bath or measuring apparatus. A simple numerical example of a two-level atom undergoing spontaneous emission is presented and analyzed.

17 pages, 6 Figures

References in corpus (12)

• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Environment-Assisted Quantum Transport
• Preparation of Entangled States by Quantum Markov Processes
• Computational Complexity of interacting electrons and fundamental limitations of Density Functional Theory
• Coherent control and suppressed nuclear feedback of a single quantum dot hole qubit
• A dissipative quantum Church-Turing theorem
• Non-Markovian Quantum Jumps in Excitonic Energy Transfer
• Quantum simulator of an open quantum system using superconducting qubits: exciton transport in photosynthetic complexes
• Perturbative Gadgets at Arbitrary Orders
• Feynman's clock, a new variational principle, and parallel-in-time quantum dynamics
• Mimicking Time Evolution within a Quantum Ground State: Ground-State Quantum Computation, Cloning, and Teleportation
• Decoherence in a dynamical quantum phase transition

Cited by in corpus (7)

• Universal simulation of Markovian open quantum systems
• Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
• Digital quantum simulation of many-body non-Markovian dynamics
• Nonlinear dynamics as a ground-state solution on quantum computers
• Clock Quantum Monte Carlo: an imaginary-time method for real-time quantum dynamics
• Variational dynamics as a ground-state problem on a quantum computer
• Quantum Path Computing: Computing Architecture with Propagation Paths in Multiple Plane Diffraction of Classical Sources of Fermion and Boson Particles