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Quantum Friction: Cooling Quantum Systems with Unitary Time Evolution

Nuclear Theory · Submitted 29 May 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In addition to providing an efficient way to simulate quantum dissipation and non-equilibrium dynamics, local quantum friction coupled with adiabatic state preparation significantly speeds up many-body simulations, making the solution of the time-dependent Schr\"odinger equation significantly simpler than the solution of its stationary counterpart.

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arXiv ID1305.6891 (version 1)
Pith IDP6LRSRKF, Pith's permanent record of this paper and its review
CitationAurel Bulgac, Gabriel Wlaz{\l}owski, Kenneth J. Roche, Michael McNeil Forbes. "Quantum Friction: Cooling Quantum Systems with Unitary Time Evolution." arXiv:1305.6891 (2013). https://pith.science/paper/P6LRSRKF
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,122 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.14 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.90 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We introduce a type of quantum dissipation -- local quantum friction -- by adding to the Hamiltonian a local potential that breaks time-reversal invariance so as to cool the system. Unlike the Kossakowski-Lindblad master equation, local quantum friction directly effects unitary evolution of the wavefunctions rather than the density matrix: it may thus be used to cool fermionic many-body systems with thousands of wavefunctions that must remain orthogonal. In addition to providing an efficient way to simulate quantum dissipation and non-equilibrium dynamics, local quantum friction coupled with adiabatic state preparation significantly speeds up many-body simulations, making the solution of the time-dependent Schr\"odinger equation significantly simpler than the solution of its stationary counterpart.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We introduce a type of quantum dissipation -- local quantum friction -- by adding to the Hamiltonian a local potential that breaks time-reversal invariance so as to cool the system. contribution 0.95 0.90 0.44 asserted 1.00
s1 Unlike the Kossakowski-Lindblad master equation, local quantum friction directly effects unitary evolution of the wavefunctions rather than the density matrix: it may thus be used to cool fermionic many-body systems with thousands of wavefunctions that must remain orthogonal. contribution 0.53 0.41 0.22 hedged possibility 0.86
s2 In addition to providing an efficient way to simulate quantum dissipation and non-equilibrium dynamics, local quantum friction coupled with adiabatic state preparation significantly speeds up many-body simulations, making the solution of the time-dependent Schr\"odinger equation significantly simpler than the solution of its stationary counterpart. result 0.48 0.66 0.30 asserted 0.99

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from argument 0.58.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We introduce a type of quantum dissipation -- local quantum friction -- by adding to the Hamiltonian a local potential that breaks time-reversal invariance so as to cool the system. Unlike the Kossakowski-Lindblad master equation, local quantum friction directly effects unitary evolution of the wavefunctions rather than the density matrix: it may thus be used to cool fermionic many-body systems with thousands of wavefunctions that must remain orthogonal. In addition to providing an efficient way to simulate quantum dissipation and non-equilibrium dynamics, local quantum friction coupled with adiabatic state preparation significantly speeds up many-body simulations, making the solution of the time-dependent Schr\"odinger equation significantly simpler than the solution of its stationary counterpart.

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References
How the literature uses it

6 arXiv papers cite this in 12 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Builds on it 1 paper
Uses its method or tool 2 papers
Cites it as support 1 paper
  • The term $γ[n]ṅ∝- ∇·p(r,t)$, per continuity equation [ref] , plays the role of “quantum friction”, in which the “friction coefficient” $γ[n]$ can depend on the number density and/or its gradient, etc. and thus it can simulate volume and/or surface "friction." In the presence of this “quantum friction” term alone $Ė_tot(t)≤0$ and $lim_t→∞ v(r,t)= 0$ [ref] , similarly to the classical Langevin equation.

    Unitary evolution with fluctuations and dissipation · Introduction · 0.96

Cites it as background 1 paper

What it cites · 12 sentences without a confident label

Uses the method or tool of 4 papers
Cites as background 1 paper
  • DFT and its time-dependent extension TDDFT, see e.g. [ref] , provide a unified approach to study both structure and reactions (dynamics).

    Laser-driven nonlinear cluster dynamics · Introduction · 0.93

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