Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313679667> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4313679667 abstract "We investigate the possibility of a Markovian quantum master equation (QME) that consistently describes a finite-dimensional system, a part of which is weakly coupled to a thermal bath. In order to preserve complete positivity and trace, such a QME must be of Lindblad form. For physical consistency, it should additionally preserve local conservation laws and be able to show thermalization. First, we show that the microscopically derived Redfield equation (RE) violates complete positivity unless in extremely special cases. We then prove that imposing complete positivity and demanding preservation of local conservation laws enforces the Lindblad operators and the lamb-shift Hamiltonian to be `local', i.e, to be supported only on the part of the system directly coupled to the bath. We then cast the problem of finding `local' Lindblad QME which can show thermalization into a semidefinite program (SDP). We call this the thermalization optimization problem (TOP). For given system parameters and temperature, the solution of the TOP conclusively shows whether the desired type of QME is possible up to a given precision. Whenever possible, it also outputs a form for such a QME. For a XXZ chain of few qubits, fixing a reasonably high precision, we find that such a QME is impossible over a considerably wide parameter regime when only the first qubit is coupled to the bath. Remarkably, we find that when the first two qubits are attached to the bath, such a QME becomes possible over much of the same paramater regime, including a wide range of temperatures." @default.
- W4313679667 created "2023-01-08" @default.
- W4313679667 creator A5021080434 @default.
- W4313679667 creator A5033976567 @default.
- W4313679667 creator A5069398884 @default.
- W4313679667 creator A5082168881 @default.
- W4313679667 date "2023-01-05" @default.
- W4313679667 modified "2023-09-26" @default.
- W4313679667 title "Searching for Lindbladians obeying local conservation laws and showing thermalization" @default.
- W4313679667 doi "https://doi.org/10.48550/arxiv.2301.02146" @default.
- W4313679667 hasPublicationYear "2023" @default.
- W4313679667 type Work @default.
- W4313679667 citedByCount "0" @default.
- W4313679667 crossrefType "posted-content" @default.
- W4313679667 hasAuthorship W4313679667A5021080434 @default.
- W4313679667 hasAuthorship W4313679667A5033976567 @default.
- W4313679667 hasAuthorship W4313679667A5069398884 @default.
- W4313679667 hasAuthorship W4313679667A5082168881 @default.
- W4313679667 hasBestOaLocation W43136796671 @default.
- W4313679667 hasConcept C121332964 @default.
- W4313679667 hasConcept C121864883 @default.
- W4313679667 hasConcept C126255220 @default.
- W4313679667 hasConcept C128805008 @default.
- W4313679667 hasConcept C130787639 @default.
- W4313679667 hasConcept C203087015 @default.
- W4313679667 hasConcept C33923547 @default.
- W4313679667 hasConcept C3445786 @default.
- W4313679667 hasConcept C37914503 @default.
- W4313679667 hasConcept C62520636 @default.
- W4313679667 hasConcept C74650414 @default.
- W4313679667 hasConcept C84114770 @default.
- W4313679667 hasConceptScore W4313679667C121332964 @default.
- W4313679667 hasConceptScore W4313679667C121864883 @default.
- W4313679667 hasConceptScore W4313679667C126255220 @default.
- W4313679667 hasConceptScore W4313679667C128805008 @default.
- W4313679667 hasConceptScore W4313679667C130787639 @default.
- W4313679667 hasConceptScore W4313679667C203087015 @default.
- W4313679667 hasConceptScore W4313679667C33923547 @default.
- W4313679667 hasConceptScore W4313679667C3445786 @default.
- W4313679667 hasConceptScore W4313679667C37914503 @default.
- W4313679667 hasConceptScore W4313679667C62520636 @default.
- W4313679667 hasConceptScore W4313679667C74650414 @default.
- W4313679667 hasConceptScore W4313679667C84114770 @default.
- W4313679667 hasLocation W43136796671 @default.
- W4313679667 hasOpenAccess W4313679667 @default.
- W4313679667 hasPrimaryLocation W43136796671 @default.
- W4313679667 hasRelatedWork W1595044142 @default.
- W4313679667 hasRelatedWork W2017328635 @default.
- W4313679667 hasRelatedWork W2041961018 @default.
- W4313679667 hasRelatedWork W2083584397 @default.
- W4313679667 hasRelatedWork W2141740538 @default.
- W4313679667 hasRelatedWork W2342168101 @default.
- W4313679667 hasRelatedWork W2963949087 @default.
- W4313679667 hasRelatedWork W4236266757 @default.
- W4313679667 hasRelatedWork W4299394772 @default.
- W4313679667 hasRelatedWork W1964036119 @default.
- W4313679667 isParatext "false" @default.
- W4313679667 isRetracted "false" @default.
- W4313679667 workType "article" @default.