Efficient simulation of non-trivial dissipative spin chains via stochastic unraveling

Talk

There exists a wide class of 1D spin chains with a Hamiltonian that can be solved exactly using the Jordan-Wigner transformation to map the spin model into a system of free-fermions. However, often the inclusion of extremely simple dissipation makes the spin chain no longer equivalent to free fermions, generating effective long-range interactions that can no longer be solved naively. In this talk, I will present a new numerical technique [1] utilizing a stochastic unraveling of the quantum master equation that allows one to efficiently (in polynomial time) calculate arbitrary observables by showing that, despite the density matrix not being Gaussian, each individual trajectory can be chosen to be a Gaussian fermionic state. In addition to making an interacting problem efficient to simulate, I will show that this also can give physical insight into the role dissipation can play in spin chains and explore an interesting connection to Z2 gauge theories that can in principle extend the technique to spin systems beyond 1D.

[1] AP and A. A. Clerk, arXiv:2503.23469 [to appear in PRX Quantum]

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