# Local effective dynamics of quantum systems: A generalized approach to work and heat

@article{Weimer2008LocalED, title={Local effective dynamics of quantum systems: A generalized approach to work and heat}, author={Hendrik Weimer and Markus J Henrich and Florian Rempp and H. Schr{\"o}der and Guenter Mahler}, journal={EPL (Europhysics Letters)}, year={2008}, volume={83}, pages={30008} }

By computing the local energy expectation values with respect to some local measurement basis we show that for any quantum system there are two fundamentally different contributions: changes in energy that do not alter the local von Neumann entropy and changes that do. We identify the former as work and the latter as heat. Since our derivation makes no assumptions on the system Hamiltonian or its state, the result is valid even for states arbitrarily far from equilibrium. Examples are discussed…

## 62 Citations

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## References

SHOWING 1-10 OF 17 REFERENCES

### Quantum computation and quantum information

- PhysicsMathematical Structures in Computer Science
- 2007

This special issue of Mathematical Structures in Computer Science contains several contributions related to the modern field of Quantum Information and Quantum Computing. The first two papers deal…

### The Theory of Open Quantum Systems

- Physics
- 2002

PREFACE ACKNOWLEDGEMENTS PART 1: PROBABILITY IN CLASSICAL AND QUANTUM MECHANICS 1. Classical probability theory and stochastic processes 2. Quantum Probability PART 2: DENSITY MATRIX THEORY 3.…

### Algorithmic cooling and scalable NMR quantum computers

- PhysicsProceedings of the National Academy of Sciences of the United States of America
- 2002

Algorithmic cooling (via polarization heat bath)—a powerful method for obtaining a large number of highly polarized spins in liquid nuclear-spin systems at finite temperature, and the “spin-refrigerating” method suggests that this problem can be resolved.

### Quantum Computation and Quantum Information, 1st edition

- 2000

### Eur

- Phys. J. D 17, 385
- 2001

### A 12

- L103
- 1979

### * Electronic address: hweimer@itp1.uni-stuttgart

### Phys

- Rev. E 70, 066148
- 2004

### Quantum Thermodynamics, Lect

- Notes Phys.,
- 2004

### Quantum Networks, 2nd edition

- 1998